# Math

Can someone tell me how they got the answer.

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

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

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

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posted by Bethany
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

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posted by Bobby

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