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# If 8x=2^y, what is the value of x, in terms of y?

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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4707
GPA: 3.82
If 8x=2^y, what is the value of x, in terms of y? [#permalink]

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06 Oct 2017, 01:44
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Difficulty:

15% (low)

Question Stats:

88% (00:40) correct 12% (01:13) wrong based on 34 sessions

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[GMAT math practice question]

If $$8x=2^y$$, what is the value of x, in terms of y?

A. $$x=2^{3y-2}$$
B. $$x=4y$$
C. $$x=4^{y-2}$$
D. $$x=2^{y-3}$$
E. $$x=2y$$
[Reveal] Spoiler: OA

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Re: If 8x=2^y, what is the value of x, in terms of y? [#permalink]

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06 Oct 2017, 03:26
MathRevolution wrote:
[GMAT math practice question]

If $$8x=2^y$$, what is the value of x, in terms of y?

A. $$x=2^{3y-2}$$
B. $$x=4y$$
C. $$x=4^{y-2}$$
D. $$x=2^{y-3}$$
E. $$x=2y$$

$$8x=2^y$$ ==> $$2^3x=2^y$$ ==> $$x=2^y/(2^3)$$ ==>$$x=2^{y-3}$$

Ans - D
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Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4707
GPA: 3.82
Re: If 8x=2^y, what is the value of x, in terms of y? [#permalink]

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08 Oct 2017, 17:05
=>
$$8x = 2^y ⬄ 2^3x = 2^y ⬄ x = 2^{y-3}$$

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Re: If 8x=2^y, what is the value of x, in terms of y?   [#permalink] 08 Oct 2017, 17:05
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