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17 Feb 2014, 03:37
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
5%
(low)
Question Stats:
88% (00:41) correct
12%
(00:53)
wrong
based on 1484
sessions
History
Date
Time
Result
Not Attempted Yet
17 Feb 2014, 03:37
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SOLUTION
If \(8^{2x+3}=2^{3x+6}\), then x =
(A) -3
(B) -1
(C) 0
(D) 1
(E) 3
\(8^{2x+3}=2^{3x+6}\);
\(2^{3(2x+3)}=2^{3x+6}\);
Equate the powers of the same bases: \(3(2x+3)=3x+6\) --> \(x=-1\).
Answer: B.
If \(8^{2x+3}=2^{3x+6}\), then x =
(A) -3
(B) -1
(C) 0
(D) 1
(E) 3
\(8^{2x+3}=2^{3x+6}\);
\(2^{3(2x+3)}=2^{3x+6}\);
Equate the powers of the same bases: \(3(2x+3)=3x+6\) --> \(x=-1\).
Answer: B.
17 Feb 2014, 03:45
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Bunuel
If \(8^{2x+3}=2^{3x+6},\) then x =
(A) -3
(B) -1
(C) 0
(D) 1
(E) 3
(A) -3
(B) -1
(C) 0
(D) 1
(E) 3
Sol: The expression can be re-written as 2^3(2x+3)=2^(3x+6). Equating the powers we get
3(2x+3)=3x+6
6x+9=3x+6 or x=1
Ans D
600 level is okay
) 
