find for 12xy

debos

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if (81)^x=1/((125)^y) and x,y are integers then find the value of 12xy.
 

Subhotosh Khan

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if (81)^x=1/((125)^y) and x,y are integers then find the value of 12xy.
Please follow the rules of submission at this forum - enunciated at:


Hint:

(81)^x=1/((125)^y)

(3)^(4x) = (5)^(-3y)

continue...

Please share your work/thoughts with us.
 

JeffM

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Sep 14, 2012
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This is the second time that you have been asked to read the submission guidelines. Please do so before starting any new threads.

I did not find Subhotosh's hint penetrated my frequently dim, and certainly insufficiently caffeinated, mind. So here is a different hint.

\(\displaystyle 81^x = \dfrac{1}{125^y} \implies 81^x * 125^y = 1.\)

Can x and y both be positive integers? Can they both be negative integers? Proceed
 

Subhotosh Khan

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This is the second time that you have been asked to read the submission guidelines. Please do so before starting any new threads.

I did not find Subhotosh's hint penetrated my frequently dim, and certainly insufficiently caffeinated, mind. So here is a different hint.

\(\displaystyle 81^x = \dfrac{1}{125^y} \implies 81^x * 125^y = 1.\)

Can x and y both be positive integers? Can they both be negative integers? Proceed
I think you and I were going for the same conclusion. I am waiting for OP's response!
 

JeffM

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I think you and I were going for the same conclusion. I am waiting for OP's response!
Subhotosh

We undoubtedly were, but the point of your hint was not obvious to me until I had pursued mine a while.
 

debos

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Jul 3, 2019
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Please follow the rules of submission at this forum - enunciated at:


Hint:

(81)^x=1/((125)^y)

(3)^(4x) = (5)^(-3y)

continue...

Please share your work/thoughts with us.
Please mention next few steps
 

Subhotosh Khan

Super Moderator
Staff member
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Jun 18, 2007
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