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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:
45%
(medium)
Question Stats:
72% (02:23) correct
28%
(02:29)
wrong
based on 3565
sessions
History
Date
Time
Result
Not Attempted Yet
If \(2^{4x} = 3,600\), what is the value of \((2^{(1-x)})^2\) ?
(A) -1/15
(B) 1/15
(C) 3/10
(D) -3/10
(E) 1
(A) -1/15
(B) 1/15
(C) 3/10
(D) -3/10
(E) 1
10 Jul 2014, 03:35
Kudos
Bookmarks
\(2^{4x} = 3600\)
\((2^{2x})^2 = 60^2\)
\(2^{2x} = 60\) .............. (1)
\((2^{1-x})^2 = \frac{2^2}{2^{2x}}\)
\(= \frac{4}{60}\).............. (From 1)
\(= \frac{1}{15}\)
Answer = B
\((2^{2x})^2 = 60^2\)
\(2^{2x} = 60\) .............. (1)
\((2^{1-x})^2 = \frac{2^2}{2^{2x}}\)
\(= \frac{4}{60}\).............. (From 1)
\(= \frac{1}{15}\)
Answer = B
22 Nov 2017, 12:27
Kudos
Bookmarks
Reni
If \(2^{4x} = 3,600\), what is the value of \((2^{(1-x)})^2\) ?
(A) -1/15
(B) 1/15
(C) 3/10
(D) -3/10
(E) 1
(A) -1/15
(B) 1/15
(C) 3/10
(D) -3/10
(E) 1
Let’s first simplify the expression we want to evaluate. We see that [2^(1-x)]^2 can be simplified as (2 * 2^-x)^2 = 2^2 * 2^-2x = (2^2)/(2^2x)
Thus, if we can determine 2^2x, then we have an answer.
Taking the square root of both sides of the given equation, which is 2^4x = 3600 we have 2^2x = 60; thus:
(2^2)/(2^2x) = 4/60 = 1/15
Answer: B
