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If x is a non-negative integer such that
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22 Sep 2021, 02:52
22 Sep 2021, 02:52
Expert Reply
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Question Stats:
50% (01:01) correct
50% (02:44) wrong based on 4 sessions
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If x is a non-negative integer such that \(7^{\sqrt{7}}+ 24^ {\sqrt{x}} = 25^{\sqrt{x}}\) , what is the value of x?
A. 0
B. 1
C. 2
D. 3
E. 4
Source: manhattanreview
A. 0
B. 1
C. 2
D. 3
E. 4
Source: manhattanreview
If x is a non-negative integer such that
[#permalink]
22 Sep 2021, 05:28
22 Sep 2021, 05:28
1
Carcass wrote:
If x is a non-negative integer such that \(7^{\sqrt{7}}+ 24^ {\sqrt{x}} = 25^{\sqrt{x}}\) , what is the value of x?
A. 0
B. 1
C. 2
D. 3
E. 4
A. 0
B. 1
C. 2
D. 3
E. 4
None of the choices satisfy the equation.
I think the question should be \(7^\sqrt{x} + 24^\sqrt{x} = 25^\sqrt{x}\)
Then, when x = 4 the equation is satisfied, which is actually a Pythagorean triplet, \(7^2 + 24^2 = 25^2\).
gmatclubot
If x is a non-negative integer such that [#permalink]
22 Sep 2021, 05:28
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