Question

if 5/11^x-2 =11/5^x-6 then the value of x is​

Answer 1

$( { \frac{5}{11} })^{x - 2} = ({ \frac{11}{5} })^{x - 6}$

$( { \frac{5}{11} })^{x - 2} = ({ \frac{5}{11} })^{ - (x - 6)}$

$( { \frac{5}{11} })^{x - 2} = ({ \frac{5}{11} })^{ - x + 6}$

$x - 2 = - x + 6$

$x + x = 6 + 2$

$2x = 8$

$x = \frac{8}{2}$

$x = 4$