If `3^x=4^(x-1)` , then `x=`, (a)`(2(log)_3 2)/(2(log)_3 2-1)` (b) `2/(2-(log)_2 3)` (c)`1/(1-(log)_4 3)` (d) `(2(log)_2 3)/(2(log)_2 3-1)`

((log)_(10)(x-3))/((log)_(10)(x^2-21))=1/2

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

Solve for x :(log)_4(log)_3(log)_2x=0

Find the domain f(x)=(log_(2x)3)/(cos^(- 1)(2x-1)

Find the value of x satisfying the equation ((log)_3 (3x)^(1/3)+(log)_x(3x)^(1/3))dot(log)_3x^3+((log)_3(x/3)^(1/3)+(log)_x(3/x)^(1/3))dot(log)_3x^3=2

Given system of simultaneous equations 2^x\ . 5^y=1\ a n d\ 5^(x+1). 2^y=2. Then - (a) . x=(log)_(10)5\ a n d\ y=(log)_(10)2 (b) . x=(log)_(10)2\ a n d\ y=(log)_(10)5 (c) . x=(log)_(10)(1/5)\ a n d\ y=(log)_(10)2 (d) . x=(log)_(10)5\ a n d\ y=(log)_(10)(1/2)

Series (1)/(log_(2)^(2)) + (1)/(log_(4)^(4)) + (1)/(log_(8)^(4)) + …..+ (1)/(log_(2^(n))4) =……….

Compute the following (81^(1/((log)_5 9))+3^(3/((log)_(sqrt(6))3)))/(409)dot((sqrt(7))^(2/((log)_(25)7))-(125)^((log)_(25)6))

Find the domain of f(x)=(log)_(10)(log)_2(log)_(2/pi)(t a n^(-1)x)^(-1)

Solve the equation log_(3)(5+4log_(3)(x-1))=2