SOLUTION: Solve the following exponential equation. Exact answers only. 49^x-12*7^x=-36 I have tried and tried on this problem. I do not understand. I would appreciate help on this!

Question 685808: Solve the following exponential equation. Exact answers only.
49^x-12*7^x=-36
I have tried and tried on this problem. I do not understand. I would appreciate help on this! Thank you!
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
Solve the following exponential equation. Exact answers only.
49^x-12*7^x=-36
7^2x-12*7^x=-36
let u=7^x
u^2=7^2x
u^2-12u+36=0
(u-6)(u-6)=0
u=6=7^x
6=7^x
log6=xlog7
x=log6/log7
x≈.9208..

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