Question

How can you interpret the logarithm of a number?

Answer 1

The logarithm of a number x to a given base b is interpreted as the inverse function to exponentiation.That means the logarithm of a number x to a given base b is the exponent to which the base b must be raised to produce the number x.

i.e.,

y = log_b x

is interpreted as:

x = b^y

Example:

The logarithm of a number x = 64 to a given base b = 2 is interpreted as the exponent to which the base b = 2 must be raised to produce the number 64.

i.e.,

6 =log₂ 64

is interpreted as:

64 = 2⁶