Exponential to Logarithmic Form

Exponential functions are inverses of logarithmic functions.

by = x if and only if y = logb x for all x > 0 and 0 < b ≠ 1.

Remember a logarithm is an exponent!

Example 1:

Write 23 = 8 in logarithmic form.

    log2 8 = 3

Example 2:

Write ca = d in logarithmic form.

   logc d = a