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# If 3^11 = 9^x, what is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 58402
If 3^11 = 9^x, what is the value of x?  [#permalink]

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18 Dec 2018, 00:30
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Difficulty:

5% (low)

Question Stats:

97% (00:26) correct 3% (01:02) wrong based on 34 sessions

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If $$3^{11} = 9^x$$, what is the value of x?

A. 4
B. 4.5
C. 5
D. 5.5
E. 11

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Posts: 1464
Concentration: Accounting, Finance
GPA: 3.68
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Re: If 3^11 = 9^x, what is the value of x?  [#permalink]

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18 Dec 2018, 02:54
Bunuel wrote:
If $$3^{11} = 9^x$$, what is the value of x?

A. 4
B. 4.5
C. 5
D. 5.5
E. 11

$$3^{11} = 9^x$$

$$3^{11} = 3^{2x}$$
2x = 11

x = 5.5.

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Re: If 3^11 = 9^x, what is the value of x?  [#permalink]

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18 Dec 2018, 08:29
Bunuel wrote:
If $$3^{11} = 9^x$$, what is the value of x?

A. 4
B. 4.5
C. 5
D. 5.5
E. 11

$$[m]3^{11} = 9^x$$[/m]

Or, $$3^{11} = 3^{2x}$$

Thus, $$2x = 11$$

So, x = 5.5, Answer must be (D)
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Abhishek....

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Re: If 3^11 = 9^x, what is the value of x?   [#permalink] 18 Dec 2018, 08:29
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