Pre-calculus: Logarithms

ln56/ln7=ln8. Is this true or is this false? How can I find this out?

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  1. not true.
    the quotient of logs is like a change of base

    ln56/ln7 = log756

    In this case, it's easy to find out whether it's true or not:

    ln56 = 4.025
    ln7 = 1.946
    ln8 = 2.079

    4.025/1.946 = 2.068 ≠ 2.079

    ln56 - ln7 = ln(56/7) = ln8

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