`log_X(X+2)+log_(X+2)X=5/2`

If log_(4)(log_(2)x) + log_(2) (log_(4) x) = 2 , then find log_(x)4 .

sqrt(5-log_(2)x)=3-log_(2)x

Solve for x: a) log_(x)2. log_(2x)2 = log_(4x)2 b) 5^(logx)+5x^(log5)=3(a gt 0), where base of log is 3.

Solve for x : (i) log_(10) (x - 10) = 1 (ii) log (x^(2) - 21) = 2 (iii) log(x - 2) + log(x + 2) = log 5 (iv) log(x + 5) + log(x - 5) = 4 log 2 + 2 log 3

If log_(5) 2, log_(5) (2^(x)-5 ) log_(5) (2^(x) - 7//2) are in A.P ., then x =

The equation x^(3/4(log_(2)x)^(2)+log_(2)x-5/4)=sqrt(2) has

If log_(2)x + log_(2)x=7 , then =