Question

If (2/3)^x-1 = (3/2)^x-5 find the value of x​

Answer 1

Answer:

x=3

Step-by-step explanation:

given,

$(\frac{2}{3} )^{x-1}$ = $(\frac{3}{2} )^{x-5}$

=> $(\frac{2}{3} )^{x-1}$ =  $(\frac{2}{3} )^{5-x}$

=> x-1 = 5-x

=> x+x = 5+1

=> 2x = 6

=> x = 6/2

=> x=3