Question

If 3^x=5^y=45^z, prove that x=2yz÷y-z

Answer 1

hey mate
here's the solution

3 = 5^(y/x) ( from 3^x = 5^y)

3 = 45 ^( z/x) ( from 3^x = 45^z)

Now refer to attachment

Answer 2

Two things you should remember while answering this question is

TRANSPOSING and 'WHEN BASES ARE EQUIVALENT/EQUAL, THE EXPONENTS MUST BE EQUAL TOO'

once this is clear to you or you may also head Google if u have any doubts and return back here to refer to answer which is given here, in the attached picture.

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Hope it helps!