Math

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I'm having a hard time with this problem. The book tells you the answer is 5, but I don't know how they got there.

log(x+25)= 1+ log(2x-7)

  • Math -

    recall that log 1 = 10

    log(x+25) = log(10) + log(2x-7)
    log(x+25) = log(10(2x-7))
    x+25 = 10(2x-7)
    x+25 = 20x - 70
    19x = 95
    x = 5

    check:
    log(30) = 1 + log(3) = log(10)+log(3) = log(30)

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