If , , , and , where and are relatively prime, find…

MATHEMATICS · Subjective · A Level · Mathematics · Exponentials and logarithms · Exponentials and logarithms

Problem

If

x,y\in\mathbb{R}^+

,

\log_{10}(2x)+\log_{10}y=2

,

\log_{10}x^2-\log_{10}(2y)=4

, and

x+y=\frac{m}{n}

, where

m

and

n

are relatively prime, find

m-3n^6

.

Related theory

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