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

Value of x satifying (log)_(10)sqrt(1+x)+3(log)_(10)sqrt(1-x)=(log)_(10)sqrt(1-x^2)+2 is a. 0ltxlt1 b. -1ltxlt1 c. -1ltxlt0 d. None of this

Solve for x : x+(log)_(10)(1+2^x)=x(dot(log)_(10)5+log_(10)6)

Solve for x :(log)_5 120+(x-3)-2.(log)_5(1-5^(x-3))=-(log)_5(0. 2-5^(x-4)) .

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

If log_(10)(sin(x+pi/4))=(log_(10)6-1)/2 , the value of log_(10)(sinx)+log_(10)(cosx) is

Solve the equationi log_((x^(2)-1))(x^(3)+6)=log_((x^(2)-1))(2x^(2)+5x)

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)

Solve the following equation for x\ &\ y :(log)_(100)|x+y|=1/2,(log)_(10)y-(log)_(10)|x|=log_(100)4.

Solve the following equaions for x and y log_(10)x+(1)/(2)log_(10)x+(1)/(4)log_(10)x+"...."=y " and " (1+3+5+"...."+(2y-1))/(4+7+10+"...."+(3y-1))=(20)/(7log_(10)x) .

Find the domain of definition the following function: f(x)=log_(10)(1-log_7(x^2-5x+13))+cos^(-1)(3/(2+sin\ (9pi)/2))