1) \( f(x)=\log _{2} \quad x+2 \) 2) \( f(x)=\log _{2} \quad x-1 \) 3) \( f(x)=\log _{2} \quad x+3 \) 4) \( f(x)=\log _{2}(x+2) \) 5) \( f(x)=\log _{2}(x-2) \) 6) \( f(x)=\log _{2}(x-5) \)

The opposite of \( -2: \square \) The opposite of \( 0: \square \) The opposite of the opposite of \( 9: \square \)

Introduction to the distributive property Use the distributive property to fill in the blanks below. \( 7 \times(5-1)=(7 \times \square)-(7 \times \square) \)

Use the change-of-base theorem to find each logarithm. \( \log _{\pi} 79 \) \( \log _{\pi} 79=\square \) (Simplify your answer. Do not round until the final answer. Then round to 1

Simplify. Rationalize the denominator. \( \frac{-3}{\sqrt{7}+\sqrt{2}} \)

b) \( \frac{-\frac{1}{2}+1}{\frac{2}{3}-2}= \)