Chapter 5 Review
Advanced Algebra & Trig
1. log6 216
2. log3 x  log3 5  log3 (2 x  6)
3. log5  x  8   log5 (2 x  6)
4. 7
4x-3
 49
x 1
5. 15  225
x

1. x = 3

2. x = 30/9

3. x = 14

4. x = 5/2

5. x = 2
6. logx 49  2
7. log2 ( x  3)  5
8. log2 ( x  3)  log2  x  1  log2 2
9. 2log2 4+log2 2
10. log2 8





1.
2.
3.
4.
5.
x
x
x
x
x
=
=
=
=
=
7
29
{no solution}
5
3/2

YOU CAN NOW USE YOUR CALCULATOR!!

Simplify (Round to 3 decimal places):
log6 10
1.285

In typing class, the average number of
words per minute typed after t weeks of
lessons was found to be:
157
N
.12t
1  5.4e

According to this, what is the maximum
number of words a person could type per
minute?
157

In typing class, the average number of words per
minute typed after t weeks of lessons was found
to be:
157
N
.12t
1  5.4e

Find the necessary time necessary to type 50
words per minute. (Round to the nearest tenth.)
7.7
weeks

In typing class, the average number of words per
minute typed after t weeks of lessons was found
to be:
157
N
.12t
1  5.4e

Find the necessary time necessary to type 75
words per minute. (Round to the nearest tenth.)
13.3
weeks
 You
invested $1000 in a bank
account on Jan. 1, 2004
earning 3% interest. If the
interest is compounded
quarterly, how much would
you have on Jan. 1, 2012?
$1270.11
 You
invested $1000 in a bank
account on Jan. 1, 2004
earning 3% interest. If the
interest is compounded
annually, how much would
you have on Jan. 1, 2007?
$1092.73
f ( x )  3log5 ( x  4)
What
sw
is the domain?
f ( x )  3log5 ( x  4)
What
is the domain?
(-4,
sw
inf)
f ( x )  3log5 ( x  4)
What
sw
is the range?
f ( x )  3log5 ( x  4)
What
is the range?
(-inf,
sw
inf)
f ( x )  3log5 ( x  4)
What
sw
is the x intercept?
f ( x )  3log5 ( x  4)
What
is the x intercept?
(-3,0)
sw
f ( x )  3log5 ( x  4)
Does
it have a vertical
or horizontal
asymptote? Where?
sw
f ( x )  3log5 ( x  4)
Vertical
sw
at x = -4
x
f (x)  4
 What
is the domain?
5
x
f (x)  4
 What
is the domain?
 (-inf,
inf)
5
x
f (x)  4
 What
is the range?
5
x
f (x)  4
 What
 [-5,
is the range?
inf)
5
x
f (x)  4
 What
5
is the y intercept?
x
f (x)  4
 What
 (0,
5
is the y intercept?
-4)
x
f (x)  4
 Does
5
this function have a
vertical or horizontal asymptote?
If so what is it?
x
f (x)  4
 Does
5
this function have a
vertical or horizontal asymptote?
If so what is it?
 Horizontal at y = -5
TEST
TOMORROW!