## Precalculus: Mathematics for Calculus, 7th Edition

power 10 $\times$ $\log_5 25$
The logarithm of a number raised to a power is the same as the _______ times the logarithm of the number. So $\log_5 (25^{10})$ = _________ $\times$ __________ The third law states $\log A^B$ = B$\times$$\log A$ so the logarithm of a number raised to a power is the same as the $power$ times the logarithm of the number. If we plug in $\log_5 (25^{10})$ to the third law, the multiplication portion would be 10 $\times$ $\log_5 25$