CP Algebra II 3/14/16
Chapter 7 Review
1.
Name: ________________
Evaluate.
a.
log 3
d.
ln e 8
1
81
2.
Ê x 3 ˆ˜
˜.
Expand log Á
Á
9˜
Á
Á
yz
Ë ˜¯
3.
Condense 3log5(x) -
4.
Find the inverse of each function.
5.
b.
log 9 27
c.
log125 5
e.
log2 64
f.
log 4
1
log5 36 + log5 x 2 .
2
a.
y = 4x + 6 - 11
b.
y = 3e 5x + 8
c.
y = log7 (x - 9) + 1
d.
y = 2 ln(x + 5)
3³7x+ 8 + 9 = 51
b.
4x =
Solve.
a.
1
256
1
16
6.
c.
log 4 (x + 5) = 3
d.
e x + 4 = 6x - 1
e.
5x = 18
f.
log2(x - 6) - log2(x + 8) = 3
g*.
92x - 8 ³9x = - 15
h.
ln(x 3 - 5) = ln(22)
i.
log(x - 5) + log(x + 2) = log(18)
j.
ln(4x + 7) = 19
How much interest do you earn on a 6 year investment of $560 at 4% compounded monthly?
7.
How long would you have to invest $4000 compounded continuously at 3.5% in order to double your
money?
8.
Algebrainium has a half-life of 56 years.
9.
a.
Find the decay equation for Algebrainium.
b.
How much of a 40 g sample of Algebrainium remains after 120 years?
c.
How long will it take for only 6 g of a 24 g sample of Algebrainium to remain?
Find an equation for each exponential or logarithmic function.
a.
b.
c.
d.