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# If 9^(2x + 5) = 27^(3x − 10), then x =

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If 9^(2x + 5) = 27^(3x − 10), then x = [#permalink]  26 Nov 2017, 09:25
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Question Stats:

100% (00:38) correct 0% (00:00) wrong based on 2 sessions
If 9^(2x + 5) = 27^(3x − 10), then x =

A. 3
B. 6
C. 8
D. 12
E. 15

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[Reveal] Spoiler: OA
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Joined: 20 Apr 2016
Posts: 824
WE: Engineering (Energy and Utilities)
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Re: If 9^(2x + 5) = 27^(3x − 10), then x = [#permalink]  30 Nov 2017, 06:16
Bunuel wrote:
If 9^(2x + 5) = 27^(3x − 10), then x =

A. 3
B. 6
C. 8
D. 12
E. 15

The above equation can be written as $$3^{2(2x + 5)} = 3^{3(3x - 10)}$$

since the base are equal we can opt out, therefore we have

2(2x + 5) = 3(3x - 10)

4x + 10 = 9x - 30

x = 8
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Re: If 9^(2x + 5) = 27^(3x − 10), then x =   [#permalink] 30 Nov 2017, 06:16
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