# How do you solve logx+log7=log37?

Jul 22, 2016

$x = \frac{37}{7} = 5 \frac{2}{7}$

#### Explanation:

If logs terms are being added, then the numbers are being multiplied.
Write the two added log terms as the log of a single number.

$\log \left(7 x\right) = \log 37 \text{ If LogA = logB, then A = B}$

$7 x = 37$

$x = \frac{37}{7}$

$x = 5 \frac{2}{7}$