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

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Manager
Joined: 29 Sep 2013
Posts: 52
Let g(x) = 4^x. If g(a) = 32. then a is equal to? [#permalink]

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20 Oct 2013, 09:26
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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
Math Expert
Joined: 02 Sep 2009
Posts: 39702
Re: Let g(x) = 4^x. If g(a) = 32. then a is equal to? [#permalink]

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20 Oct 2013, 09:35
1
KUDOS
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 $$2^{2a}=32=2^5$$ --> $$2a=5$$ --> $$a=2.5$$.

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Re: Let g(x) = 4^x. If g(a) = 32. then a is equal to? [#permalink]

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26 Feb 2014, 03:16
1
KUDOS
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]

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14 Aug 2015, 14:12
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

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Manager
Joined: 10 Jun 2015
Posts: 128
Re: Let g(x) = 4^x. If g(a) = 32. then a is equal to? [#permalink]

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14 Aug 2015, 23:02
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

g(x)=4^x=2^2x
g(a)=2^2a = 2^5
2a = 5
a = 2.5
the correct option is C
Re: Let g(x) = 4^x. If g(a) = 32. then a is equal to?   [#permalink] 14 Aug 2015, 23:02
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# Let g(x) = 4^x. If g(a) = 32. then a is equal to?

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