6.6 Logarithmic equations practice 3

Solve the equation [math]\log_xx=x^2-5x-5[/math]

How many integer [math]b[/math] that satisfies the equation [math]\dfrac{\log_b8}{\log_b4}=2[/math]?

Solve the equation [math]\log{x^2-3x}=1[/math]. If you have two or mor answers, write the smallest one.

Solve the equation [math]\log_3 ({10x^2-x-2})=2+2\log_3 {x}[/math] showing all algebraic work.

Slove the equation [math]\log_2(x^2-2x+1)=1+\log_2(1-x)[/math]

Slove the equation [math]2(5^{x+1})=1+\dfrac{3}{5^x}[/math], giving the answer in the form [math]a+\log_5{b}[/math], where [math]a, b \in \mathbb{Z}[/math].

Slove [math]\log_{16} {\sqrt[3]{100-x^2}}=\frac{1}{2}[/math].