# How do you solve 6^r = 51?

Oct 31, 2015

$r = 2 , 1944. .$

#### Explanation:

Take log on both sides and use laws of logs to rewrite and solve :

$\log {6}^{r} = \log 51$

$\therefore r \log 6 = \log 51$

$\therefore r = \log \frac{51}{\log} 6 = 2 , 1944. .$