SOLUTION: solve this equation using logarithms. If the answer is not exact, give the answer to four decimal places. 5^3x-1=3^2x

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: solve this equation using logarithms. If the answer is not exact, give the answer to four decimal places. 5^3x-1=3^2x      Log On


   

Question 539731: solve this equation using logarithms. If the answer is not exact, give the answer to four decimal places.
5^3x-1=3^2x
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve this equation using logarithms. If the answer is not exact, give the answer to four decimal places. 5^3x-1=3^2x
**
5^(3x-1)=3^2x
(3x-1)log5=2xlog3
(3x-1)/2x=log3/log5=.6826
3x-1=1.3652x
1.6348x=1
x=1/1.6348=0.6117 (ans)