Logarithm Calculator

The logarithm is the inverse operation of exponentiation. It answers the question: “To what power must the base be raised, to get the number?”.

Formula:

Log_base(number) = log_base of the number

Example 1: Find Logarithm of 1000 with Base 10

If the base is 10 and the number is 1000, the logarithm is:
Log₁₀(1000) = 3

Example 2: Find Logarithm of 32 with Base 2

If the base is 2 and the number is 32, the logarithm is:
Log₂(32) = 5

Key Points:

• Logarithm is the inverse operation of exponentiation.
• The logarithmic base must be greater than 0 and not equal to 1.
• Use the change of base formula to calculate logarithms with any base: log_base(number) = log(number) / log(base)