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March 25, 2017

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Express the given quantity in a single logarithm.

ln(a + b) + ln(a - b) - 2 ln c

  • Cal - ,

    The sum of two logarithms is equal to the logarithm of the product, and the difference equals the quotient:
    log(A)+log(B)-log(C)
    =log(AB/C)

    Twice the logarithm of a quantity is the logarithm of the square of the quantity:
    2log(C)=log(C²)

    So if we put it all together, we get:
    log(A)+log(B)-2log(C)
    =log( AB/C²)

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