Which of the following statement (s) is/are correct ? `log_(10) x^2=2log_(10)x`

Which of the following statements are true log_(2)3

Solve for x.x^(log_(10)x+2)=10^(log_(10)x+2)

Find the domain of the following functions: f(x)=sqrt(log_(10)((log_(10)x)/(2(3-log_(10)x))))

Solve the following equations. (viii) (log10(x-3))/log_(10)(x^2-21)=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 equations (i) (log_(2)(9-2^(x)))/(3-x)=1 (ii) x^((log_(10)x+7)/(4))=10^((log_(10)x+1)

Solve the following equations. (viii) (log_10(x-3))/log_(10)(x^2-21)=1/2

Solve the following equation. (log_10(x-3))/log_(10)(x^2-21)=1/2