Question

here is ur question.
solve karke dikhe on copy

Answer 1

log5 (x+1)-log5(x+1)=2
log5(x+1)/(x-1)=2

(x+1/x-1)=5square

x+1=25x-25
25x-1=25+1
24x = 26
x= 26/24
x=13/12

Answer 2

$log_{5}(x + 1) - 1 = 1 + log_{5}(x - 1) \\ \\ log_{5}(x + 1) - log_{5}(x - 1) = \: 2 \\ \\ log _{5}\frac{(x + 1)}{(x - 1)} = 2 \\ \\ {\frac{(x + 1) {}^{} }{(x - 1) {}^{} }} = {5}^{2} = 25 \\ \\ \large \boxed{ \: x = \frac{13}{12} }$