SOLUTION: Please show all work that leads to your answer and round answers to the nearest hundredth. 3(5)^(2x-3)=6

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Please show all work that leads to your answer and round answers to the nearest hundredth. 3(5)^(2x-3)=6      Log On


   

Question 941476: Please show all work that leads to your answer and round answers to the nearest hundredth.
3(5)^(2x-3)=6
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

3%285%29%5E%282x-3%29=6
cross%283%29%285%29%5E%282x-3%29=cross%286%292
%285%29%5E%282x-3%29=2 take a logarithm of both sides

log%285%5E%282x-3%29%29=log%282%29
%282x-3%29log%285%29=log%282%29
2x-3=log%282%29%2Flog%285%29
2x=log%282%29%2Flog%285%29%2B3
2x=0.430676558%2B3
2x=3.430676558
x=3.430676558%2F2
x=1.715338279
x=1.72