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( 2 3 ) X ( 3 2 ) 2 X = 81 16 Then X = - Mathematics

MCQ

 `(2/3)^x (3/2)^(2x)=81/16 `then x

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Solution

We have to find value of x  provided  `(2/3)^x (3/2)^(2x)=81/16 `

So,

 `(2/3)^x (3/2)^(2x)=81/16 `

 `(2/3)^x (3/2)^(2x)= 3^4/3^4`

`(2x)/(3x) (3^(2x))/(2^(2x)) = 3^4/2^4`

`3^(2x -x)/2^(2x-x) = 3^4/2^4`

`3^x/2^x = 3^4/2^4`

Equating exponents of power we get x = 4.

  Is there an error in this question or solution?
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APPEARS IN

RD Sharma Mathematics for Class 9
Chapter 2 Exponents of Real Numbers
Q 15 | Page 30
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