log_(7)(2x-6)/(2x-1)>0

Solve for x:(a) log_(0.3)(x^(2)+8) gt log_(0.3)(9x) , b) log_(7)( (2x-6)/(2x-1)) gt 0

Solve for x:(a) log_(0.3)(x^(2)+8) gt log_(0.3)(9x) , b) log_(7)( (2x-6)/(2x-1)) gt 0

Find x, if : (i) log_(3) x = 0 (ii) log_(x) 2 = -1 (iii) log_(9) 243 = x (iv) log_(5) (x - 7) = 1 (v) log_(4) 32 = x - 4 (vi) log_(7) (2x^(2) - 1) = 2

Number of real solution of the equation,log_(2)^(2)(x)+(x-1)log_(2)(x)=6-2x, is

log_((pi+6)/(3))(log_(2)[(x-1)/(x+2)])>0

Solve: log_(3)(2x^(2)+6x-5)>1

Find number of solutions of the equation sin^(-1)(|log_(6)^(2)(cos x)-1|)+cos^(-1)(|3log_(6)^(2)(cos x)-7|)=(pi)/(2) , if x in [0, 4pi] .

Find number of solutions of the equation sin^(-1)(|log_(6)^(2)(cos x)-1|)+cos^(-1)(|3log_(6)^(2)(cos x)-7|)=(pi)/(2) , if x in [0, 4pi] .