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Let g(x) = 4^x. If g(a) = 32. then a is equal to?

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Joined: 29 Sep 2013
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Kudos [?]: 13 [0], given: 40

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Let g(x) = 4^x. If g(a) = 32. then a is equal to? [#permalink] New post 20 Oct 2013, 08:26
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B
C
D
E

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Question Stats:

87% (01:36) correct 13% (01:09) wrong based on 45 sessions
Let g(x) = 4^x. If g(a) = 32 then a is equal to?

A. 2
B. 2.33
C. 2.5
D. 2.75
E. 3

Source: Barrons GMAT
[Reveal] Spoiler: OA
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Posts: 26582
Followers: 3487

Kudos [?]: 26168 [1] , given: 2705

Re: Let g(x) = 4^x. If g(a) = 32. then a is equal to? [#permalink] New post 20 Oct 2013, 08:35
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Expert's post
suk1234 wrote:
Let g(x) = 4^x. If g(a) = 32 then a is equal to?

A. 2
B. 2.33
C. 2.5
D. 2.75
E. 3

Source: Barrons GMAT


Given: g(x) = 4^x=2^{2x}.

Thus from g(a) = 32, we can write the 2^{2a}=32=2^5 --> 2a=5 --> a=2.5.

Answer: C
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Kudos [?]: 235 [0], given: 167

Re: Let g(x) = 4^x. If g(a) = 32. then a is equal to? [#permalink] New post 26 Feb 2014, 02:16
32 can be written as 4^2 . 4^1/2
= 4^(2+1/2)
= 4^(5/2)

So a = 5/2 = 2.5 = Answer = C
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Re: Let g(x) = 4^x. If g(a) = 32. then a is equal to?   [#permalink] 26 Feb 2014, 02:16
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Let g(x) = 4^x. If g(a) = 32. then a is equal to?

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