1 Logarithm Calculator | log(x) Calculator
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Logarithm Calculator

Calculate logarithm of a number to any base:

log  
Result:
Description:

* Use e for scientific notation. E.g: 5e3, 4e-8, 1.45e12

When:

b y = x

Then the base b logarithm of a number x:

logb x = y

Anti-logarithm calculator

In order to calculate log-1(y) on the calculator, enter the base b (10 is the default value, enter e for e constant), enter the logarithm value y and press the = or calculate button:

 
Result:

When

y = logb x

The anti logarithm (or inverse logarithm) is calculated by raising the base b to the logarithm y:

x = logb-1(y) = b y

Logarithm rules

Logarithm product rule

logb(x × y) = logb(x) + logb(y)

Logarithm quotient rule

logb(x / y) = logb(x) - logb(y)

Logarithm power rule

logb(x y) = y × logb(x)

Logarithm base switch rule

logb(c) = 1 / logc(b)

Logarithm base change rule

logb(x) = logc(x) / logc(b)

 

 


See also
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MATH CALCULATORS
Fundamental strategies for illuminating conditions - To explain a condition intends to discover every one of its underlying foundations or to demonstrate that they don't exist. There are numerous standard strategies for fathoming conditions, and much more non-standard ones. The last are appropriate for tackling a modest number (regularly for the most part one) of the sort of conditions. When settling conditions, one quite often needs to fall back on indistinguishable changes of mathematical articulations. Consequently, it is prudent to manage this material first, before continuing to understanding conditions. This article manages standard strategies for illuminating conditions. Some non-standard strategies are quickly depicted in the last piece of the article. Additionally on the site there are isolated articles on understanding trigonometric, logarithmic and exponential conditions, which I likewise prescribe the peruser to peruse.

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