Calculator
log(1) =
0
BYJUS
byjus.com › maths › value-of-log-1
Value of Log 1
August 26, 2020 - The value of log 1 to the base 10 is equal to 0. It can be evaluated using the logarithm function, which is one of the important mathematical functions. Log functions are commonly used to solve many lengthy problems and reduce the complexity ...
Reddit
reddit.com › r/mathematics › logarithm with base 1
r/mathematics on Reddit: logarithm with base 1
April 19, 2023 -
we can know that 1^((-i*ln2)/(2π))=2, but why log₁2 is still undefined?
Top answer 1 of 2
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Remember that the definition of a logarithm is that it is the inverse of the exponential function with the same base. If we allowed 1 to be the base of an exponential function (which we don't) that function would be f(x) = 1x, but that's just the horizontal line f(x) = 1. That doesn't work because f(x) = 1 is not a one-to-one function and so can't have an inverse. You can see why this fails by approaching the problem graphically. If you reflect the horizontal line y = 1 about the line y = x, you would get the vertical line x = 1, which isn't a function because, obviously, vertical lines don't pass the vertical line test. So log₁(x) wouldn't be a function even if we were to consider the constant function y = 1 to be an exponential function.
2 of 2
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If you throw the change of bases formula at it : logB(x) = ln(x)/ln(B) ,you find that log1(x) = (B->1)lim [ln(x)/ln(B)] = ln(x)/ln(1) BUT ln(1) = 0 so then log1(x) is undefined [ I use logB(x) as "log base B of x" ]
Mathway
mathway.com › popular-problems › Algebra › 200909
Evaluate log of 1 | Mathway
Evaluate log of 1 · Step 1 · Logarithm base of is . Please ensure that your password is at least 8 characters and contains each of the following: a number ·
Videos
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What is the Natural Log of -1? (Complex Numbers) - YouTube
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Log of -1 | Extending the Logarithmic Function - YouTube
14:26
Logarithm of 1 Rule | Why logₐ(1) Always Equals 0 Explained Simply ...
02:56
Laws of Logarithm | Logₐ1=0 | Logₐa=1 - YouTube
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Heboh Dokumen Rahasia TNI Bocor! Tetapkan Status Siaga 1, Antisipasi ...
Minitab
support.minitab.com › en-us › minitab › help-and-how-to › calculations-data-generation-and-matrices › calculator › calculator-functions › logarithm-calculator-functions › natural-log-log-base-e-function
Natural log (log base e) function - Minitab
Calculates logarithms to the base e, where e is the constant equal to approximately 2.71828. The natural log of any positive number, n, is the exponent, x, to which e must be raised so that ex = n.
Math Central
mathcentral.uregina.ca › QQ › database › QQ.09.99 › seasonmanuel1.html
LOG(LN(x)) = 1
Date: Fri, 28 Jul 2000 14:15:30 EDT Subject: ALGEBRA PROBLEM · LET F(x)=LOG X AND G(x)= LN X. SOLVE (f *G)(x)= 1 SHOW COMPOSITION AND USE DEFINITION OF LOGS
Reddit
reddit.com › r/explainlikeimfive › eli5: why can't we have logarithm with base 1 ?
r/explainlikeimfive on Reddit: ELI5: Why can't we have logarithm with base 1 ?
February 15, 2016 - Because 1 to any power is 1. I suppose you could write log1(1)=X and it's not wrong...but most people would just say 1.
CK-12 Foundation
ck12.org › all subjects › algebra ii › logarithmic functions › what is the natural log of 1?
Flexi answers - What is the natural log of 1? | CK-12 Foundation
September 11, 2025 - The natural logarithm of 1 is 0. This is because the natural logarithm function, denoted as @$\begin{align*}\ln(x)\end{align*}@$, is the inverse of the exponential function @$\begin{align*}e^x\end{align*}@$. So, @$\begin{align*}\ln(1) = 0\end{align*}@$ because @$\begin{align*}e^0 = 1\end{align*}@$. ...
Flutter
api.flutter.dev › flutter › dart-math › log.html
log function - dart:math library - Dart API
Converts x to a double and returns the natural logarithm of the value.
Wikipedia
en.wikipedia.org › wiki › Natural_logarithm
Natural logarithm - Wikipedia
3 weeks ago - The natural logarithm of x is the ... The natural logarithm of e itself, ln e, is 1, because e1 = e, while the natural logarithm of 1 is 0, since e0 = 1....
IObit
softo.org › calc › log-calculator
Log calculator | Logarithm Calculator - Softo
Log base 10, also known as the common logarithm or decadic logarithm, Is the logarithm to the base 10. The common logarithm of x is the power to which the amount 10 has to be raised to acquire the value x. For example, the common logarithm of 10 is 1, the frequent logarithm of 100 is two and ...
Cuemath
cuemath.com › algebra › logarithms
Logarithm (Logs) - Examples | Natural Log and Common Log
We know that ln e = 1 and log 1 = 0. Using these two facts, log ln e = log 1 = 0. No, log square x is NOT the same as 2 log x.
Wolfram|Alpha
wolframalpha.com › input
log (-1) - Wolfram|Alpha
Compute answers using Wolfram's breakthrough technology & knowledgebase, relied on by millions of students & professionals. For math, science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, music…
Calculator.net
calculator.net › home › math › log calculator
Log Calculator
logb(x × y) = logbx + logby EX: log(1 × 10) = log(1) + log(10) = 0 + 1 = 1
Quora
quora.com › What-is-Log-1-1
What is Log(-1)? - Quora
Case 3: we are talking of the logarithm function* within the Complex numbers, and we are using log to denote base 10 logarithms. In which case, ln (-1) = iπ ≈ 3.14159i (where i is the imaginary unit, and π is the ratio between the radius of a circle and its circumference in an Euclidean plane)
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?
Top answer 1 of 9
6
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.
Quora
quora.com › What-is-the-answer-to-log-1
What is the answer to log 1? - Quora
Therefore, log 1 means a^n = 1.
Chronosphere
chronosphere.io › home › what is a log file and log data? a complete guide for devops teams
What is a log file and log data? A complete guide for DevOps teams
July 31, 2025 - Log files are computer-generated records that capture system activities, errors, and events across your infrastructure. Log data represents the structured information within these files that enables monitoring, troubleshooting, and security analysis. With proper log management practices, engineering teams can reduce mean time to resolution (MTTR), optimize system performance, and ensure regulatory compliance.
University of Minnesota
mclph.umn.edu › mathrefresh › logs.html
What is a Logarithm?
SECTION 4. WHAT IS A LOGARITHM · A logarithm is the power to which a number must be raised in order to get some other number (see Section 3 of this Math Review for more about exponents). For example, the base ten logarithm of 100 is 2, because ten raised to the power of two is 100:
MDN Web Docs
developer.mozilla.org › en-US › docs › Web › CSS › Reference › Values › log
log() - CSS | MDN
The log() CSS function is an exponential function that returns the logarithm of a number.
Reddit
reddit.com › r/askmath › we define sqrt(-1) as i, can we also define something like log(-1) and have it exhibit interesting things?
r/askmath on Reddit: We define sqrt(-1) as i, can we also define something like log(-1) and have it exhibit interesting things?
March 26, 2024 - In particular Ln(-1) is actually i* pi . At least that is the principal value of it, in reality ex is periodic if you allow xto be complex so Ln(-1) can have many different values. If by log you meant log base 10 then we just apply the change of base formula