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math;SOS

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solve the logarithmic equation.
log(5x+7)=1+log(x-9)

  • math;SOS -

    log(5x+7) - log(x-9) = 1 , condition: x > 9
    log [ (5x+7)/(x-9) ] = 1
    (5x+7)/(x-9 = 10^1
    10x - 90 = 5x + 7
    5x =97
    x = 97/5 = 19.4

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