`log_5 ((2+x)/10)=log_5 (2/(x+1))`

If log_5(5^(1/x)+125)=log_5 6+1+1/(2x) , then x =

Solve log_5(5^(1/x)+125)= log_5 6+1+1/(2)x .

If log_(10)(2),log_(10)(2^(x)+1),log_(10)(2^(x)-3) are in A.P then x is equal to (i)log_(2)(5)( ii) log_(2)(-1) (iii) log_(2)((1)/(5))( iv) log_(5)(2)

If (6)/(5)a^(A)-3^(B)=9^(C) where A=log_(a)x*log_(10)a log_(a)5,B=log_(10)((x)/(10)) and C=log_(100)x+log_(4)2. Find x

log_5 (6+2/x)+log_((1//5)) (1+x/10)le1

If y=log_(5)(log_(5)x)+10^(3log_(10)x), show that (dy)/(dx)=(1)/(x log_(5)x(log_(e)5)^(2))+3x^(2)