SOLUTION: 6^(x-3)=52 Please show all work that leads to your answer and round answers to the nearest hundredth.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: 6^(x-3)=52 Please show all work that leads to your answer and round answers to the nearest hundredth.      Log On


   

Question 941474: 6^(x-3)=52
Please show all work that leads to your answer and round answers to the nearest hundredth.
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!

6%5E%28x-3%29=52.....take a log of both sides
log%286%5E%28x-3%29%29=log%2852%29
%28x-3%29log%286%29=log%2852%29
x-3=log%2852%29%2Flog%286%29
x=log%2852%29%2Flog%286%29%2B3
x=%28log%2852%29%2B3log%286%29%29%2Flog%286%29
x=%28log%2852%29%2Blog%28216%29%29%2Flog%286%29
x+=+%285log%282%29%2B3log%283%29%2Blog%2813%29%29%2F%28log%282%29%2Blog%283%29%29
x=5.2052311
x=5.21