(1 (2 N (3) (4 N (5) (6) (7 (8) 9) (10) Solve the logarithmic equation: log,(3z + 1) = log,(z + 9) (Hint: use that log;(z) is one-to-one so that if log;,(z) = log,(y) then = = y.) Solve the logarithmic equation: In(z + 3) = In(4z 9) (Check your answer works - logs only take positive inputs.) Solve : log,(3) + log,(x 1) = log,(z + 7) (Combine the logs on the left into a single log using log, (x) + log,(y) = log,(xy).) Solve : 2+ log,(z) = log,(3x + 2) (Hint: write 2 as log(something).) Solve : log,(z) +logy(x 3) =1 Draw 150 in standard position and say which quadrant the terminal side is in. Convert 150 to radians as follows: (a) Give the simplified exact answer involving . (b) Then give the inexact answer as a decimal (it should be between 2 and 3). Draw n /4 radians in standard position and say which quadrant the terminal side is in. A circle has radius 9 cm. (a) Find the length of the arc of this circle corresponding to a central angle of 7 /6 radians. (b) Find the area of a sector of this circle corresponding to a central angle of /6 radi- ans. (Hint: Use the arc length and sector area formulas. Make sure your answers have the correct length and area units.) Suppose cos(t)