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18 Oct 2019, 03:01
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If \(2^{(2w)} = 8^{(w−5)}\), what is the value of w?
A. 2
B. 3
C. 6
D. 15
E. 18
A. 2
B. 3
C. 6
D. 15
E. 18
18 Oct 2019, 04:55
Kudos
Bookmarks
Bunuel
If \(2^{(2w)} = 8^{(w−5)}\), what is the value of w?
A. 2
B. 3
C. 6
D. 15
E. 18
A. 2
B. 3
C. 6
D. 15
E. 18
\(2^{2w} = 2^{3(w - 5)}\)
2w = 3(w-5) = 3w - 15
w = 15
IMO D
chrtpmdr
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Joined: 24 Jul 2019
Last visit: 05 Oct 2022
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Schools: HSG MBF "23 (A) UniBocconi MFin "23 (A)
GMAT 1: 730 Q46 V45
GPA: 3.9
18 Oct 2019, 05:03
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Bookmarks
Bunuel
If \(2^{(2w)} = 8^{(w−5)}\), what is the value of w?
A. 2
B. 3
C. 6
D. 15
E. 18
A. 2
B. 3
C. 6
D. 15
E. 18
\(2^{(2w)} = 8^{(w−5)}\)
\(2^{(2w)} = 2^3{(w−5)}\)
\(2w = 3w - 15\)
\(-w = -15\)
\(w = 15\)
