Solve the following equation of x : `2(log)_x a+(log)_(a x)a+3(log)_(a^2x)a=0,a >0`

Solve (log)_x2(log)_(2x)2=(log)_(4x)2.

The values of x, satisfying the equation for AA a > 0, 2log_(x) a + log_(ax) a +3log_(a^2 x)a=0 are

Find the number of solutions of the following equations: 1. x^(-1/2)(log)_(0. 5)x=1, 2. x^2-4x+3-(log)_(2)x=0

(log x)/( (1 + log x)^(2))

Solve (log)_4 8+(log)_4(x+3)-(log)_4(x-1)=2.

Solve (log)_2(3x-2)=(log)_(1/2)x

For a >0,!=1, the roots of the equation (log)_(a x)a+(log)_x a^2+(log)_(a^2a)a^3=0 are given a^(-4/3) (b) a^(-3/4) (c) a (d) a^(-1/2)

Solve : 3log_x(4)+ 2log_(4x)4+3log_(16x)4=0

Solve for x: log_(4) log_(3) log_(2) x = 0 .