SOLUTION: If 3^x=17, then x equals what?

Algebra ->  Algebra  -> Logarithm Solvers, Trainers and Word Problems -> SOLUTION: If 3^x=17, then x equals what?      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 202240: If 3^x=17, then x equals what?
Answer by RAY100(1637) About Me  (Show Source):
You can put this solution on YOUR website!
when variable is an exponent, normally use log to solve.
.
Remember loga^b = b*loga
.
3^x = 17
log(3^x) = log(17)
x*log (3) =log(17)
x=log(17)/log(3)
x=2.5789
.
check,,,3^2.5789 =17,,,ok