The sum of solution of the equation `log_(10)(3x^(2) +12x +19) - log_(10)(3x +4) = 1` is

The solution set of the equation log_(10)(3x^(2)+12x+19)log_(10)(3x+4)=1 is

The number of real solution of the equation log_(10)(7x-9)^(2)+log_(10)(3x-4)^(2)=2 is

The number of solutions of the equation log_((2x + 3)) ( 6x^(2) + 23 x + 21) + log_((3x + 7)) (4x^(2) + 12 x + 9) = 4 is

The sum of all the solutions to the equations 2log_(10)x-log_(10)(2x-75)=2

The sum of all the solutions to the equations 2log_(10)x-log_(10)(2x-75)=2

The sum of the real solutions of the equation log_(2)|x^(2)+2x-3|-log_(2)|x+3|=3

If the sum of all solutions of the equation (X^(log_(10)3))^(2)-(3^(log_(10)x))-2=0 prime and where b and c are relatively hen find the value of (a+b+c) IS

If the sum of all solutions of the equation (X^(log_(10)3))^(2)-(3^(log_(10)x))-2=0 prime and where b and care relatively prime and a,b,c in N then find the value of (a+b+c) IS

Number of solutions of the equation log_(10) ( sqrt(5 cos^(-1) x -1 )) + 1/2 log_(10) ( 2 cos^(-1) x + 3) + log_(10)sqrt5 = 1 is