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

Solve for x :(log)_("x"+1)(x^2+x-6)^2=4

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

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

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

Solve for x if log(x-1)+log(x+1)=log1

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

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

Solve 7^(log x) + x^(log 7)=98