Eric Nicholas K's answer to idununderstandasinglething's Secondary 4 A Maths Singapore question.

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Eric Nicholas K
Eric Nicholas K's answer
5997 answers (Tutor Details)
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For log 27 3, we use a change of base to base 2 to simply this expression. Or, if you can recognise that 3 is the cube root of 27, you can convert the 3 to the cube root of 27 before evaluating this logarithm to 1/3.

We then convert each log into index form from the outermost log to the innermost log if there are several logs arranged in a row.