Question

Can someone tell me how they got the answer.

Problem: 9^(x+6)=7x

My answer was: -52.458
The correct answer is: -51.138

I have checked my input on my calculator, and cannot figure it out.

Answer 1

Sorry, my problem is:
9^(x+6)=7^x

Answer 2

-52.4576 is the correct answer.

ln9^(x+6)=ln7^x
(x+6)*ln(9)=x*ln(7)
(x+6)/x=ln(7)/ln(9)
x/x+6/x=.885622
1+6/x=.885622
6/x=.885622-1
6/x=-.114378
x=6/(-.114378)
x=-52.4576