# How do you rewrite the equation log_7 343= 3 in exponential form?

Jan 23, 2017

${\log}_{7} 343 = 3 \implies {7}^{3} = 343$

#### Explanation:

definitin of a log

${\log}_{b} a = c \implies a = {b}^{c}$

so

${\log}_{7} 343 = 3 \implies {7}^{3} = 343$

which can be quickly checked

7xx7xx7=343 sqrt