Practice Quiz

Graph y = 2 x - 3 – 1 1.Domain: Range:  (-1, ) 2. Hor/Vert 3 R, 1  3. Inc/Dec Inc 4.Key Point (, ) (3, 0) 5.Equation of asymp. y = -1

Graph y = 2 x - 3 – 1 1.Domain: Range:  (-1, ) 2. Hor/Vert 3 R, 1  3. Inc/Dec Inc 4.Key Point (, ) (3, 0) 5.Equation of asymp. y = -1

Graph y = log 2 ( x + 3 ) – 2 1.Domain: Range: (-3, )  2. Hor/Vert 3 L 2  3. Inc/Dec Inc 4.Key Point (, ) (-2, -2) 5. Equation of asymp. x = -3

(64) t = (32) 1 – t (2 6 ) t = (2 5 ) 1- t 6 t = 5 – 5t t = 5/11 Solve for the variable.

Rewrite exponentially and solve for x. log = x 5 x = x = 5 4 x = 4

(1/27) – 2 p =(3) p+3 (3 - 3 ) – 2 p = (3) p+3 6p = p + 3 5p = 3 p = 3/5

2 – h = (1/8) 1 – h 2 – h = (2 - 3 ) 1 – h -h = h - 4h = - 3 h = 3/4

Find each logarithm. log 7 1 = x 7 x = 1 7 x = 7 0 x = 0

Find each logarithm. log 7 7 = x 7 x = 7 7 x = 7 1 x = 1

Find each logarithm. log 5  5 = x 5 x = 5 ½ x = ½

Solve. 9 = r – 2/3 3 2 = r – 2/3 (3 2 ) -3/2 = (r – 2/3 ) -3/ = r 1/27 = r

Write as the sum or difference of logarithms with no exponents log a x 4 y 3 4 log a x – 3 log a y log a 6 d 7 c 9 b 3 6 log a + 7 log d – 9 log c – 3 log b

Write as the sum or difference of logarithms with no exponents log √x y ½ log x – log y log x 4 ∛ y 3 z 2 1/3(4logx – 3log y –2logz)

Write as a single logarithm log 25 + log 4 (Hint base 10) log = x 10 x = x = 10 2 x = 2 3 log x + log y log x 3 y

Write as a single logarithm 6(log a + log b) log (ab) 6 9log t + 4log u log (t 9 u 4 )

Write as a single logarithm 4log w + 4log u + 5log v log(w 4 u 4 v 5) 8log t – 4log s + 7log v log (t 8 v 7 ) s 4

Write as a single logarithm log log 8 2 (Hint: make single logarithm = x and convert to exponential form to solve for x.) log 8 42 = x 8 x = 8 x = 1 2 log a x + 5 log a z – log a 2 – 3 log a y log a (x 2 z 5 ) 2y 3

Write as a single logarithm 8 log b t – 3 log b u – log b 6 – 2 log b s log b t 8 6u 3 s 2 log a 2x + 3(log a x–log a y) log a 2x(x) 3 (y) 3 log a (x) 4 (y) 3