1 Logarithm Calculator | log(x) Calculator

Logarithm Calculator

Calculate logarithm of a number to any base:


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


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:



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
What are the changes of conditions for? With their assistance, you can understand conditions. How? Certain changes, which will be examined in the following section, enable us to move from a condition to an identical condition or condition impact. Handy utilization of such changes makes it conceivable to construct a chain of proportionate conditions and conditions results with a genuinely basic arrangement as far as a limited condition, which enables you to discover every one of the underlying foundations of the first condition by the foundations of the last condition.

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