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Home/ Questions/Q 7668147
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Editorial Team
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Editorial Team
Asked: May 31, 20262026-05-31T15:17:10+00:00 2026-05-31T15:17:10+00:00

can someone please explain to me, how to work out logs? e.g. log27 to

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can someone please explain to me, how to work out logs?

e.g. log27 to the power 3 ?

I though the above is 3 because 3x3x3=27 and it takes 3, 3’s to make 27. is this correct?

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  1. Editorial Team
    Editorial Team
    2026-05-31T15:17:12+00:00Added an answer on May 31, 2026 at 3:17 pm

    The definition of logarithm states that if logb(x) = y then by = x. This works for real numbers, not just integers.

    In your example, log3(27) = 3, because 33 = 27.

    Or your second example: log3(11) = 2.182658…, because 32.182658… = 11.

    See Wikipedia.

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