Question

prove that log360=3log2+2log3+log5

Answer 1

Hey!!!


Here is your answer__________

log360 = 3log2+2log3+log5

consider,

RHS= 3log2+2log3+log5

=log2^3+log3^2+log5

=log8+log9+log5

=log(8x9x5)

=log(360)

=LHS.

Hence the proof.

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Hpoe this answer will help u...

Answer 2

$log360 = log(8 \times 9 \times 5) \\ = log8 + log9 + log5 \\ = log2 ^{3} + log3 ^{2} + log5 \\ = 3log2 + 2log3 + log5 \: \: \: (proved)$