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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: 5271
GMAT 1: 800 Q59 V59
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, 02:44
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Difficulty:

5% (low)

Question Stats:

90% (00:37) correct 10% (01:13) wrong based on 41 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

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
"Only $79 for 3 month Online Course" "Free Resources-30 day online access & Diagnostic Test" "Unlimited Access to over 120 free video lessons - try it yourself" Senior Manager Joined: 06 Jan 2015 Posts: 365 Location: India Concentration: Operations, Finance GPA: 3.35 WE: Information Technology (Computer Software) Re: If 8x=2^y, what is the value of x, in terms of y? [#permalink] ### Show Tags 06 Oct 2017, 04:26 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 _________________ आत्मनॊ मोक्षार्थम् जगद्धिताय च Resource: GMATPrep RCs With Solution Math Revolution GMAT Instructor Joined: 16 Aug 2015 Posts: 5271 GMAT 1: 800 Q59 V59 GPA: 3.82 Re: If 8x=2^y, what is the value of x, in terms of y? [#permalink] ### Show Tags 08 Oct 2017, 18:05 => $$8x = 2^y ⬄ 2^3x = 2^y ⬄ x = 2^{y-3}$$ Answer : D _________________ MathRevolution: Finish GMAT Quant Section with 10 minutes to spare The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy. "Only$79 for 3 month Online Course"
"Free Resources-30 day online access & Diagnostic Test"
"Unlimited Access to over 120 free video lessons - try it yourself"

Re: If 8x=2^y, what is the value of x, in terms of y?   [#permalink] 08 Oct 2017, 18:05
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