Question

$( \frac{4}{11}) {}^{x - 1} = ( \frac{11}{4}) {}^{x - 5}$
please help me find 'x' .​

Answer 1

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

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

When bases are same, powers are equal

1 - x = x - 5

2x = 6

x = 3

Hope this helps