# Logarithm of one

What is the logarithm of one?

logb(1) = ?

The logarithmic function

y = logb(x)

is the inverse function of the exponential function

x = by

The logarithm of x=1 is the number y we should raise the base b to get 1.

The base b raised to the power of 0 is equal to 1,

b0 = 1

So base b logarithm of one is zero:

logb(1) = 0

For example, the base 10 logarithm of 1:

Since 10 raised to the power of 0 is 1,

100 = 1

Then the base 10 logarithm of 1 is 0.

log10(1) = 0

Logarithm of infinity »

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