Solve the following logarithmic equation. \( 2 \log _{2}(x-4)+\log _{2} 2=3 \) Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is \( \} \). (Simplify your answer. Type an exact answer. Use a comma to separate answers as needed.) B. There is no solution.

In the \( x y \)-plane, a parabola has vertex \( (9,-14) \) and intersects the \( x \)-axis at two points. If the equation of the parabola is written in the form \( y=a x^{2}+b x+c \) where \( a, b \), and \( c \) are constants, which of the following could be the value of \( a+b+c \) ? (A) -23 (B) -19 (D) -12

Subtract the polynomials: \( (5x^{3} + 2x^{2} - 7) - (3x^{3} - x^{2} + 4) \)

8. \( \frac{\sqrt{27 a^{3} b^{6}}}{\sqrt{3 a b^{6}}-5 a b^{2}}= \)

5.7 Determine the equation of \( h \) if \( h(x)=g(x+1)-2 \)

1) \( \frac{10 x+8}{3 a-b}-\frac{9 x+5}{3 a-b}= \)