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