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Introduction

Given that x=...

Question

Given that $x = 2^{p}$ and $y = 4^{q}$ , then value of ${log}_{2} (x^{3} y)$ is

3 p + 2 q

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2 p + 3 q

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3 p + q

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p + 3 q

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Solution

The correct option is A $3 p + 2 q$
$l o g_{2} (x^{3} y) = l o g_{2} (2^{3 p} 4^{q}) = l o g_{2} (2^{(3 p + 2 q)}) = 3 p + 2 q$

Suggest Corrections

Similar questions

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