How do you calculate $log_7 8.34$ with a calculator?

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Answer 1 · 2016-08-23T03:21:42

$log_7 8.34~=1.09001$

Using the relationship:
$log_b x = log_a x/ log_a b$

In this example $x = 8.34 and b=7$
and let $a=10$ (to allow the calculation on a simple scientific calculator.)

Hence: $log_7 8.34 = log_10 8.34/log_10 7$

$~= 0.92117/0.84510$

$~= 1.09001$

NB: To check result $7^1.09001 = 8.34$ to 2 decimals

How do you calculate log_7 8.34log_7 8.34 with a calculator?