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solve 5^(p+4)= 2^(4-5p)to 2 decimal places

  • math12 -

    take log of both sides
    log(5^(p+4)) = log(2^(4-5p))
    (p+4)log5 = (4-5p)log2
    p log5 + 4log5 = 4log2 - 5p log2
    p(log5 + 5log2) = 4log2 - 4log5
    p = (4log2 - 4log5)/( log5 + 5log2) = appr -.72

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