# How do you solve log_10 5?

Mar 2, 2016

#### Answer:

The 10 is the base, and the 5 is what the base and the exponent give.

#### Explanation:

${10}^{x} = 5$

We must keep it in logarithmic form to evaluate, however.

We can evaluate using the rule ${\log}_{a} n = \frac{\log n}{\log a}$

= $\frac{\log 5}{\log 10}$

= 0.70

Alternatively, you could have just calculated log5, because log10 always gives 1.