CP Algebra II 3/3/16
WS Exponential and Logarithmic Practice
Name:________________________
1. For you 16th birthday your aunt gave you $750 under the condition you leave it in a
bank account for 4 years. You invest the money at 3.5% interest, compounded daily.
How much money will you have at the end of the four years?
2. Ms. Long invests $5000 in an account that pays 2.8% annual interest compounded
quarterly. How long will it take to double this investment?
3. Mr. Rust invests $200 in an account that pays 3.6% annual interest compounded
semiannually. How long will it take for this investment to reach a value of $1000?
4. Your mom bought 4 boxes of Girl Scout cookies for a total of 96 cookies. Each day
1/3 of the cookies are eaten. How many cookies remain after 1 week?
5. Find the equation of the INVERSE of each function.
a)
f ( x ) = 5× 3x+1 - 4
b)
g( x) = log4 ( x + 3) - 6
b)
log7 x 2 = log7 144
d)
4log5(3x - 7) + 6 =18
6. Solve each equation.
48
= log 5 4
w
a)
log 5
c)
log2 x 2 = log2 (16 -10x )
(
)
(
)
e)
log 8 x 2 +3 = log 8 7x + 9
g)
4log 2 x 2 - 4x +16 = 36
(
)
f)
4× 5 x-8 + 7 =19
2
h)
3×7x +2x -2= 25
7. Write the equation of each graph.
a)
b)
8. Graph each equation.
a)
f (x) = log 1 ( x + 4 ) + 2
2
b) f (x) = - log 4 ( x + 2 ) + 3