`log_10 x-1/2log_10(x-1/2)=log_10(x+1/2)-1/2log_10(x+1/8)`

(log_(10)x)^(2)+log_(10)x^(2)=(log_(10)2)^(2)-1

if x+log_10 (1+2^x)=xlog_10 5+log_10 6 then x

if x+log_10 (1+2^x)=xlog_10 5+log_10 6 then x

Find the real solution to the system of equation log_(10)(2000xy)-log_(10)x*log_(10)y=4,log_(10)(2yz)-log_(10)y*log_(10)z=1 and log_(10)(2x)-log_(10)x*log_(10)x=

Solve x+log_10(2^x+1)= log_10 6+xlog_10 5 .

The value of p in R for which the equation sin^(-1)((log_(10)x)^(2)-2log_(10)x+2)+tan^(-1)((log_(10)x)^(2)-2log_(10)x+2)+cos^(-1)((log_(10)x)^(2)-2(log_(10)x))=p possess solution is

Find x, if : (i) log_(10) (x + 5) = 1 (ii) log_(10) (x + 1) + log_(10) (x - 1) = log_(10) 11 + 2 log_(10) 3

Solve the following equations for x and y: log_10x+log_10(x)^(1/2)+log_10(x)^(1/4)+….=y (1+3+5+…+(2y-1))/(4+7+10+..+(3y+1))=20/(7log_10x)

Solve the following equations for x and y: log_10x+log_10(x)^(1/2)+log_10(x)^(1/4)+….=y (1+3+5+…+(2y-1))/(4+7+10+..+(3y+1))=20/(7log_10x)