Question

If ( 4/11) raised to power x-1 = (11/4) raised to power x-5 , then x is equal to :

Answer 1

Answer is given in the attachment.

Check it.

Answer 2

Step-by-step explanation:

Given equation is (4/11)^(x-1) = (11/4)^(x-5)

=> (11/4)^(1-x) = (11/4)^(x-5)

Since a^-n = 1/a^n

and

Since the bases are equal then exponents must be equal.

=> 1-x = x-5

=> 1+5 = x+x

=> 6 = 2x

=> 2x = 6

=> x = 6/2

=> x = 3

The value of x = 3