Question

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

Answer 1

`log_7 8.34~=1.09001`

Explanation:

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