SOLUTION: Solve the following for x 2^x=32 3^x-2=81 4^x=1/64

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Solve the following for x 2^x=32 3^x-2=81 4^x=1/64      Log On

Ad: Algebra Solved!™: algebra software solves algebra homework problems with step-by-step help!
Ad: Algebrator™ solves your algebra problems and provides step-by-step explanations!

   

Question 172548: Solve the following for x
2^x=32
3^x-2=81
4^x=1/64
Answer by jojo14344(1512) About Me  (Show Source):
You can put this solution on YOUR website!
2%5Ex=32 ----->xlog2=log32
x%2Across%28log2%29%2Fcross%28log2%29=log32%2Flog2
highlight%28x=5%29
.
3%5E%28x-2%29=81 ------>%28x-2%29log3=log81
%28x-2%29cross%28log3%29%2Fcross%28log3%29=log81%2Flog3
x=4%2B2=highlight%286%29
.
4%5Ex=1%2F64------->xlog4=log%281%2F64%29
x%2Across%28log4%29%2Fcross%28log4%29=log%281%2F64%29%2Flog4
highlight%28x=-3%29
.
Thank you,
Jojo