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Log Calculator (Logarithm)
This free log calculator solves for the unknown portions of a logarithmic expression using base e, 2, 10, or any other desired base.
the logarithm with base 10, formerly widely used for calculations
Wikipedia
en.wikipedia.org › wiki › Common_logarithm
Common logarithm - Wikipedia
February 20, 2026 - The mathematical notation for using ... log(x), log10(x), or sometimes Log(x) with a capital L; on calculators, it is printed as "log", but mathematicians usually mean natural logarithm (logarithm with base e ≈ 2.71828) rather than common logarithm when writing "log", since the natural logarithm ...
Can somebody please explain Logarithm to me at basic level?
I'm not sure what you are looking for here. Knowing log 1 =0 and log 2 = 0.3010 doesn't immediately give you a way to calculate log 1.5. (unless perhaps you want to explore doing something with power series of the natural log). By definition, if log 1.5 = x, then 1.5 = 10x . If you didn't have access to a calculator that produces logs, then you can do a numerical search: 100.1 = 1.259, 100.2 = 1.585, so x must be a little less that 0.2... More on reddit.com
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June 30, 2023How to Solve a Logarithm by Hand?
I want to know how humans first solved them. With lots of patience and extremely tedious work. One way to do it is by successive approximation. Do it digit-by-digit: Start with 1. Multiply by 10 as many times as you can without going over. That's your integer part of your result. Multiply by the tenth root of 10 as many times as you can without going over. That's the first digit past the decimal of your result. Multiply by the hundreth root of 10 as many times as you can without going over. That's the second digit past the decimal of your result. Multiply by the thousandth root of 10 as many times as you can without going over. That's the third digit past the decimal of your result. Multiply by the ten-thousandth root of 10... This was slow, tedious work. There were some methods for speeding it up, but it was never easy to do. This is why logarithms were published in tables, ever since they were invented. When John Napier published the first book explaining them, in 1614, it had 90 pages of tables of logarithms. (An error in the last number in the second table propagated throughout the rest of the book, making all of the calculated values about 0.00000034 off from what they should have been.) Henry Briggs, the successor of Napier, published a table of log10(1) to log10(20,000), all to 14 decimal places; this formed the basis for pretty much all log tables that were used up until handheld scientific calculators were invented. More on reddit.com
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October 21, 2024Is my proof for 0.99...=1 accurate?
It does not look like it even demonstrates that 0.999...=1, never mind proving it. You seem to be showing that at i=0 there's some repeating numbers, but this is ignoring the limit. More on reddit.com
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April 10, 2024ELI5: Logarithms
An exponent is asking: "What is this number multiplied by itself some number of times?". So 104 is asking "what's 10 times 10 times 10 times 10?". The answer is 10,000. A logarithm is asking: "How many times do you multiply this number by itself to get this this result?". So log10 10000 is asking "how many times do you multiply 10 times itself to get to 10000?". The answer is 4. More on reddit.com
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July 31, 2023What is log 1?
The logarithm of one is always zero, no matter the logarithm's base: logₐ 1 = 0 for every a.
omnicalculator.com
omnicalculator.com › math › log
Log Calculator (Logarithm)
Find the value of log 10 ÷ log (1/10).
log 10 ÷ log (1/10) = 1 ÷ (-1) [since, log 10 = 1, so log (1/10) = -1] · = -1 · Therefore, log 10 ÷ log (1/10) = -1.
byjus.com
byjus.com › maths › value-of-log-10
Value of Log 10 10
Find the value of log10(1/100).
log10(1/100) = log(0.01) = – 2 [since, log100 = 2] · Therefore, log10(1/100) = – 2
byjus.com
byjus.com › maths › value-of-log-10
Value of Log 10 10
Videos
10:27
Evaluate Logarithms without a Calculator: Log Base 10 - YouTube
03:42
Why log10=1 ? prove that log10=1 | logarithm math - YouTube
01:23
Log 10 - Logaritmo - Como calcular? - YouTube
00:47
What is the Value of log 10 || log 10 - YouTube
What is a Logarithm? Intro to Base 10, 'Common Logs' • [8.1a] ...
00:23
log 1 base 10 . log 10 1 . logaritmo de - YouTube
BYJUS
byjus.com › maths › value-of-log-10
Value of Log 10 10
July 25, 2022 - log 10 ÷ log (1/10) = 1 ÷ (-1) [since, log 10 = 1, so log (1/10) = -1] = -1 Therefore, log 10 ÷ log (1/10) = -1. ... log(1000) = log10(10 × 10 × 10) = log1010 + log1010 + log1010 = 1 + 1 + 1 [since, log1010=1] = 3 Therefore, log(1000) = 3.
MDN Web Docs
developer.mozilla.org › en-US › docs › Web › JavaScript › Reference › Global_Objects › Math › log10
Math.log10() - JavaScript - MDN Web Docs
July 10, 2025 - Math.log10(-2); // NaN Math.log10(-0); // -Infinity Math.log10(0); // -Infinity Math.log10(1); // 0 Math.log10(2); // 0.3010299956639812 Math.log10(100000); // 5 Math.log10(Infinity); // Infinity
Quora
quora.com › How-is-log-10-1
How is log 10 = 1? - Quora
Note: For the same reason, [math]\log_{10}(1)[/math] must be zero. ... Comparing log1010 with the definition, we have the base, a=10 and 10x=b, Therefore, the value of log 10 is as follows, We know that logaa=1.
Omni Calculator
omnicalculator.com › math › log
Log Calculator (Logarithm)
This log calculator (logarithm calculator) allows you to calculate the logarithm of a (positive real) number with a chosen base (positive, not equal to 1).
Published December 16, 2025
Open Learning
open.edu › openlearn › mod › oucontent › view.php
Mathematics for science and technology: Week 5: 1 | OpenLearn - Open University
So, 103 = 1000 and log10 (1000) = 3 express the same fact but the latter is in the language of logarithms. ... If a number y can be written in the form ax, then the index x is called the logarithm of y to the base a. ... Here are some more examples that provide some general logarithm rules. ... Similarly, log3 (1) = 0 ...
Mathway
mathway.com › popular-problems › Precalculus › 494731
Solve for x log base x of 10=-1 | Mathway
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
Mathway
mathway.com › popular-problems › Precalculus › 488636
Write in Exponential Form log of 10=1 | Mathway
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
MiniWebtool
miniwebtool.com › home page › math › logarithm calculators › log base 10 calculator
Log Base 10 Calculator - Calculate Common Logarithm with Step-by-Step Solution
January 5, 2026 - It answers the question: "To what power must 10 be raised to get a given number?" For example, log base 10 of 100 equals 2 because 10 raised to the power of 2 equals 100. It is commonly written as log(x), lg(x), or log10(x). To calculate log ...
Reed College
reed.edu › academic_support › pdfs › qskills › logarithms.pdf pdf
Copenagle, Academic Support Page 1/6 What is a logarithm?
We write “log base ten” as “log10” or just “log” for short and we define it like · this: If · y = 10x · then log (y) = x · So, what is log (10x) ? log (10x) = x · How about 10log(x) ? 10log(x) = x · More examples: log 100 = 2 · log (105)= 5 ·
Cppreference
en.cppreference.com › w › cpp › numeric › math › log10.html
std::log10, std::log10f, std::log10l - cppreference.com
February 9, 2025 - #include <cerrno> #include <cfenv> #include <cmath> #include <cstring> #include <iostream> // #pragma STDC FENV_ACCESS ON int main() { std::cout << "log10(1000) = " << std::log10(1000) << '\n' << "log10(0.001) = " << std::log10(0.001) << '\n' << "base-5 logarithm of 125 = " << std::log10(125) / std::log10(5) << '\n'; // special values std::cout << "log10(1) = " << std::log10(1) << '\n' << "log10(+Inf) = " << std::log10(INFINITY) << '\n'; // error handling errno = 0; std::feclearexcept(FE_ALL_EXCEPT); std::cout << "log10(0) = " << std::log10(0) << '\n'; if (errno == ERANGE) std::cout << " errno == ERANGE: " << std::strerror(errno) << '\n'; if (std::fetestexcept(FE_DIVBYZERO)) std::cout << " FE_DIVBYZERO raised\n"; }
MathWorks
mathworks.com › matlab › mathematics › elementary math › exponents and logarithms
log10 - Common logarithm (base 10) - MATLAB
For real values of X in the interval (0, Inf), log10 returns real values in the interval (-Inf ,Inf). For complex and negative real values of X, the log10 function returns complex values. ... Examine several values of the base 10 logarithm function. Calculate the common logarithm of 1.
Mathway
mathway.com › popular-problems › Algebra › 262428
Convert to Logarithmic Form 10^-1=0.1 | Mathway
Free math problem solver answers your algebra, geometry, trigonometry, calculus, and statistics homework questions with step-by-step explanations, just like a math tutor.
BYJUS
byjus.com › log10-calculator
How to Use the Log10 Calculator?
November 18, 2020 - Log10 Calculator is a free online tool that displays the logarithm value for the base 10.
Quora
quora.com › In-log-table-log10-0-but-in-Quora-some-say-log10-1-which-is-correct-and-what-is-the-reason
In log table log10=0, but in Quora some say log10=1, which is correct, and what is the reason? - Quora
Answer (1 of 6): OK, I date to the days before scientific calculators, when slide rules and logarithms were used for computation. Logarithms may be to any base, but most common are natural and common, natural logs (base e) are very important in higher mathematics, while common logs (base 10) were...
Reddit
reddit.com › r/maths › can somebody please explain logarithm to me at basic level?
r/maths on Reddit: Can somebody please explain Logarithm to me at basic level?
June 30, 2023 -
Say I want to Find Log(10)1.5, I know that Log1=0 and Log2=0.3010, how can I use this relation to find the log of 1.5 with base 10?
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I'm not sure what you are looking for here. Knowing log 1 =0 and log 2 = 0.3010 doesn't immediately give you a way to calculate log 1.5. (unless perhaps you want to explore doing something with power series of the natural log). By definition, if log 1.5 = x, then 1.5 = 10x . If you didn't have access to a calculator that produces logs, then you can do a numerical search: 100.1 = 1.259, 100.2 = 1.585, so x must be a little less that 0.2...
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Just like subtraction is the inverse of addition and division is the inverse of multiplication, logarithmic functions are the inverse of exponential functions - i.e. logarithms are the mathematical process of "undoing" exponentiation, or raising a number to another number power. If you google logarithm rules, you'll find that values multiplied/divided inside the logarithm can be "split" by addition and subtraction of logarithms. For your example, you have log10(1.5) which can also be written log10(3/2). This can be rewritten as log10(3)-log10(2). From the log table, you can fill in that this is equal to 0.4771-0.3010=0.1761.
BYJUS
byjus.com › maths › value-of-log-1-to-10
Value of Log 1 to 10 for Log Base 10
June 24, 2024 - The value of log10 1 = 0 and the value of ln 1 = 0.
PhysioNet
physionet.org › physiotools › wag › log10-1.htm
LOG10(1)
log10 reads its standard input, which should be in text form and should contain two positive numbers (x and y) on each line, separated by spaces or tabs. The standard output of log10 contains four columns of numbers, separated by spaces: the common (base 10) logarithms of x and y, and the x ...
Logarithm Calculator
logcalculator.net
Logarithm Calculator log(x)
Logarithm calculator finds the log function result in various base numbers 2,10 and exponential e. Calculate the log(x) inverse function of exponentiation.