Question

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

Answer 1

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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