10^(5x) = 53 Explain the solution

Question

`10^(5x) = 53`

Explain the solution

Answer 1

Use log rules to solve.

take the log of both sides:
log (
`10^(5x)`) = log 53
5x·log 10 = log 53
NOTE: log represents log base 10 & log base 10 of 10 = 1
5x · 1 = log 53
5x = log 53
x = (log 53)/5
≈ 0.3449