How do you solve ${log}_{10} 5$ $log_10 5$ ?

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Answer 1 · 2016-03-02T00:55:43

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

$10^{x} = 5$ $10^x = 5$

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

We can evaluate using the rule ${log}_{a} n = \frac{log n}{log a}$ $log_an = (logn)/(loga)$

= $\frac{log 5}{log 10}$ $(log5)/(log10)$

= 0.70

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

How do you solve log105log_10 5?