Math

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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.

  • Math -

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

  • Math -

    -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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