# How do you solve log_x49=2?

Nov 15, 2016

$x = 7$

#### Explanation:

From the definition of logarithm ${\log}_{a} b = m$ implies ${a}^{m} = b$

Hence ${\log}_{x} 49 = 2$ means ${x}^{2} = 49$

and hence $x = 7$