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If (64/729)^x = 243/32 find the value of X

 Jan 15, 2017
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(64/729)^x = 243/32

 

(64/ 729)^x  =  3^5  / 2^5

 

( 2^6 / 3^6 )^x  = ( 2^5 / 3^5) ^(-1)

 

2^(6x)  / 3^(6x)  =  2^(-5) / 3^(-5)

 

(2/3)^(6x)  = (2/3)^(-5)    →  6x  = -5   →  x  = - 5 / 6

 

 

cool cool cool

 Jan 15, 2017

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