### Khan Academy

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Clipped on: 2016-12-04

### The inverse relationship of exponents and logarithms

For m>0m>0m>0m, is greater than, 0 and b>0,b≠1b>0, b\neq 1b>0,b≠1b, is greater than, 0, comma, b, does not equal, 1, we have the following relationship:

bq=m if and only if logbm=q\quad \log_{\blueD b }{\redD m}=\purpleD qlogbm=q