Question

K is a constant . Find the value of k. Answer ?

`(12^(x+1) * 3^(1-x) )/ 2^x = k(2^(x-1))`

Answer 1

`k=72`

Explanation:

`"consider the left side"`

`((3xx2^2)^(x+1) .3^(1-x))/2^x`

`=(3^(x+1) . 2^(2x+2) .3^(1-x))/2^x`

`=3^2 . 2^(x+2)`

`rArrk=(9xx2^(x+2))/2^(x-1)`

`color(white)(rArrk)=9xx2^3=72`