the correct question is
What is the solution of the equation (5^x)-1=45? Round your answer to the nearest ten- thousandth
we have that
(5^x)-1=45--------> (5^x)=45+1----------> (5^x)=46
we apply logarithm both members
ln(5^x)=ln(46)---------> x*ln(5)=ln(46)-----------> x=ln(46)/ln(5)-----------> 2.37886
the answer is x=2.3789