math

How would I simplify this problem using logs? (25/16) -3/2

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  1. Is the -3/2 supposed to be an exponent? If so, precede it with a ^ symbol.

    Hint: 25/16 = (5/4)^2

    You should end up with 3 Log(4/5)

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  2. Wouldn't that be a decimal answer. Oh, and yes -3/2 is an exponent.

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  3. The answer, if turned into a number, will be a never-ending decimal. It's called an irrational number. I doubt if they want you to calculate it out to a lot of decimal places. You have also not specified the base of the logarithm. You'd have to do that to get a number

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  4. The base is 25/16.

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