Logarithm Calculator

The user inputs the number and the base, and the calculator outputs the logarithm of the number with respect to the given base, natural logarithm of the number and decimal logarithm of the number.

The logarithm of a number 'x' with respect to a base 'b' is denoted as log_b(x) and is calculated as the exponent to which the base 'b' must be raised to equal the number 'x'.

For example, log₂(8) = 3 because 2³ = 8.

The natural logarithm (base e) of a number 'x' is denoted as ln(x) and is calculated as the logarithm of the number with respect to the mathematical constant 'e' (approximately equal to 2.718).

The decimal logarithm (base 10) of a number 'x' is denoted as log₁₀(x) and is calculated as the logarithm of the number with respect to the base 10.

For example, log₁₀(100) = 2 because 10² = 100.

The following formula is used to get the logarithm with base a provided that you can calculate the logarithm with base c:

Logarithm

Number

Base

Calculation precision

Digits after the decimal point: 3

Calculate

Logarithm to a given base

 

Common logarithm

 

Natural logarithm

 

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