SOLUTION: 3^x-2 = 1/9 So far I have x-2 log 3 = log 1/9 I am not sure if this is even correct. thanks

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: 3^x-2 = 1/9 So far I have x-2 log 3 = log 1/9 I am not sure if this is even correct. thanks       Log On


   

Question 170998: 3^x-2 = 1/9
So far I have x-2 log 3 = log 1/9
I am not sure if this is even correct.
thanks
Answer by jojo14344(1513) About Me  (Show Source):
You can put this solution on YOUR website!
3%5E%28x-2%29=+1%2F9
You're on the right track amigo,
becomes,
%28x-2%29log3=log%281%2F9%29
x-2=log%281%2F9%29%2Flog3
x-2=-2
x=-2%2B2=highlight%280=x%29, Answer
Check it out:
3%5E%280-2%29=1%2F9
3%5E-2=1%2F9
1%2F3%5E2=1%2F9
1%2F9=1%2F9
Thank you,
Jojo