Source: Official Guide for GMAT Review 2016 Data Sufficiency ; #94

1

If 2^x + y = 4^8, what is the value of y

If 2^x + y = 4^8, what is the value of y?

1 Explanation

1

Nha Ha

First simplify the equation so that 4 has the same base as 2. Then you have x+y = 16.

From here you can use the given statements to find that the answer is B.

Dec 29, 2015 • Comment

Cydney Seigerman, Magoosh Tutor

Yes, great set-up! As you said, we can rewrite 4^8 so that the two expressions have the same base of 2:

2^(x+y)
4^8 = (2^2)^8 = 2^16

From there, we have 2^(x+y) = 2^16 and therefore x+y=16.

:)

Dec 30, 2015 • Reply

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Official GMAT Material

Official Guide for GMAT Review 2016

Official Guide for the GMAT 2015 14th Ed.

Official Guide for the GMAT 13th Ed.

Nova's GRE Prep

Official Guide for the GMAT 12th Ed.

Revised GRE PDF 2nd Ed.


Section 6.3 Data Sufficiency

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