Question 198101
{{{5=4^x}}}
Take the log to the base 10 of both sides
{{{log(5) = log(4^x)}}}
Note the general rule:
{{{log(a^b) = b*log(a)}}}, so
{{{log(5) = x*log(4)}}}
{{{x = log(5)/log(4)}}}
{{{x = .69897/.60206}}}
{{{x = 1.161}}}
I can check the answer with my calculator
{{{5 = 4^1.161}}}
{{{5 = 4.99999995}}} (error due to rounding)
OK