# How do you write log_7 49=2 in exponential form?

And so ${\log}_{7} 49 = 2$ can be rewritten as ${7}^{2} = 49$

#### Explanation:

The exponential form:

${a}^{b} = c$ - which says "a multiplied by itself b times equals c"

can be rewritten as:

${\log}_{a} c = b$ - which says "a is multiplied by itself to arrive at c b-number of times"

And so ${\log}_{7} 49 = 2$ can be rewritten as ${7}^{2} = 49$