SOLUTION: 10^(10x-7)=3^(2x-4)

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 10^(10x-7)=3^(2x-4)      Log On


   

Question 520501: 10^(10x-7)=3^(2x-4)
Answer by lwsshak3(11628) About Me  (Show Source):
You can put this solution on YOUR website!
solve for x
10^(10x-7)=3^(2x-4)
take log of both sides
(10x-7)log10=(2x-4)log3
(10x-7)/(2x-4)=log3=.4771
(10x-7)=(2x-4)*.4771
10x-7=.9542x-1.9085
9.0458x=5.0915
x=5.0915/9.0458=.5629