Math 12 (Logs)

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Solve:
3^(2a+3)=7^(a-4)

Please Help and Thank you

  • Math 12 (Logs) -

    3^(2a+3) = 7^(a-4).
    (2a+3)*Log3 = (a-4)*Log7.
    Divide both sides by Log3:
    2a+3 = 1.771(a-4).
    2a+3 = 1.771a-7.085.
    2a-1.77a = -7.085-3.
    0.23a = -10.085.
    a = -43.85.

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