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For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ [#permalink ]
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For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ [#permalink ]
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Bunuel wrote:
For integers x, y, and z, \(3^x4^y5^z=54675\). What is the value of product xyz?
Given that \(3^x4^y5^z=54675\), notice that 54675is not divisible by 4 (using divisibility rule of 4)
so y=0 and therefore x*y*z =0
Hence Option A is correct.
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Originally posted by
0akshay0 on 16 Feb 2017, 03:44.
Last edited by
0akshay0 on 16 Feb 2017, 21:53, edited 2 times in total.
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ [#permalink ]
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if we do prime factorization of 382725 we will result : 5^2 *3^7 *7.
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ [#permalink ]
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prime factorize..
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ [#permalink ]
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Bunuel wrote:
For integers x, y, and z, \(3^x4^y5^z=382725\). What is the value of product xyz?
\(3^x*4^y*5^z=382725 = 3^7 * 5^2 * 7^1\)
So, we do not have any 4's in the Factorization, thus, answer must be (E) Cannot be determined _________________
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ [#permalink ]
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Bunuel wrote:
For integers x, y, and z, \(3^x4^y5^z=382725\). What is the value of product xyz?
Hi,
It is given that x, y and z are integers...
So 4^y cannot be 7...
Value of y as an integer has to be 0, so product xyz is 0..
Bunuel , some error in Q, could be typo..
There has to be 7 on left hand side..
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ [#permalink ]
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chetan2u wrote:
Bunuel wrote:
For integers x, y, and z, \(3^x4^y5^z=382725\). What is the value of product xyz?
Hi,
It is given that x, y and z are integers...
So 4^y cannot be 7...
Value of y as an integer has to be 0, so product xyz is 0..
Bunuel , some error in Q, could be typo..
There has to be 7 on left hand side..
You are right but the original question does not have it. Edited the question to correct the issue. Thank you for noticing.
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ [#permalink ]
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Option A Given: \(3^x4^y5^z = 54675; xyz = ?\)
:5467
5 is an odd number, hence can't have any even factors or in other words y = 0 (\(4^0 = 1\)).
: xyz = 0
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Re: For integers x, y, and z, 3^x4^y5^z=382725. What is the value of produ
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