Start by getting the term with the exponent on one side
[tex] 2^{5x}=100 [/tex]
take the log of both sides
[tex]log 2^{5x} =log100[/tex]
There is a log rule that says we can bring down the exponent
[tex]5xlog2=log100[/tex]
Solve for x
[tex]5x= \frac{log100}{log2} [/tex]
5x=6.64
answer: x=1.33
