Solve the following equations.
(vi) `log_3(log_9x+1/2+9^x)=2x`

Solve the following equations. (ii) log_2(9+2^x)=3

Solve the following equation. log_3(log_9x+1/2+9^x)=2x

Solve the following equations for 'x' : log_3(log_9 x+1/2 +9^x)=2x

Solve the following equation. log_2(9+2^x)=3

Solve the following equation. log_2(9+2^x)=3

Solve the following equation. log_2(9-2^x)=3-x

Solve the following equation : log_x 3+log_x 9+log_x 729=9

Solve the following equation for x: 9^(log_3(log_2x))=log_2 x- (log_2 x)^2+1

Solve the following equation : log_3 x+log_9 (x^2)+log_27 (x^3)=3

Solve the following equations (i) (log_(2)(9-2^(x)))/(3-x)=1 (ii) x^((log_(10)x+7)/(4))=10^((log_(10)x+1)