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# 2^x + 2^(x+3)=6^2*2^18. What is the value of x?

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Math Expert
Joined: 02 Sep 2009
Posts: 49298
2^x + 2^(x+3)=6^2*2^18. What is the value of x?  [#permalink]

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01 Mar 2017, 01:58
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Difficulty:

5% (low)

Question Stats:

91% (01:08) correct 9% (02:19) wrong based on 55 sessions

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$$2^x + 2^{(x+3)}=6^2*2^{18}$$. What is the value of x?

A. 18
B. 20
C. 21
D. 22
E. 24

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2^x + 2^(x+3)=6^2*2^18. What is the value of x?  [#permalink]

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01 Mar 2017, 02:27
Bunuel wrote:
$$2^x + 2^{(x+3)}=6^2*2^{18}$$. What is the value of x?

A. 18
B. 20
C. 21
D. 22
E. 24

$$2^x + 2^{(x+3)} = 6^2*2^{18}$$
$$2^x*(1 + 2^3) = (3*2)^2*2^{18}$$
$$2^x*(9) = (9)^2*2^{20}$$
$$2^x = 2^{20}$$

x=20

Hence option B is correct
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2^x + 2^(x+3)=6^2*2^18. What is the value of x? &nbs [#permalink] 01 Mar 2017, 02:27
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