Problem Sheet #11 (4.4-4.6)
Classlb:
Math 1090
-
Hmk. 11 Score
Instructor: Katrina Johnson
Name: o\oko.
001 Spring 2013
Complete each problem. Clearly indicate your final answer. No credit will be given without
supporting work
1. Expand_the_logarithmic expression completely.
I(x
2
41
mIx
‘d
1)4]
x+9
2
-
=
29w’x
2x
(
*
#
•‘i”
29-x
(L
4
‘.
ç#
(.%)‘4 —
-
2. Condense the logarithmic expression comTfI
5 x — 41og
31og
(x + 5)+ log
5
59
oc(—
-k
C’
3. Evaluate without using a calcui
(1
4lne_ln1+1nj=)+lne
Q -
z
(,-‘13)
k
)
#3
4. Solve.
2x
log
2 log
(x + 5) =2
2
—
9
—-2
20
-
-2oO
.,1.
•1
l-’-\D
(-i - 2
2
L42 ‘>-S
•
2-2 )
-s
2-2-4o
5. Solve each equation.
a) 2+1=4
2
‘?—‘
EE
,
L31
3
•1
.1
3._ -S
U)
c) 2(e’ —10) =
3—
_3ex
20
2e-
-‘se”
2
(2- )(Q
r’)
6.
Melanie saved $5,000 from her weekly cash over the last two years. She wants to invest
her money in an account that grows according to the formula A(t) = P(1 o52K), where P is
the original amount invested, t is the number of years she leaves her money in that
account and A is the value of that account at time t.
a) How much will the account be worth after two years?
‘2
=
)
5ôoo
b) After how many years will she have $10,500?
/
çs= \OOo
\ooo OOO i4%0
2
2-4
2k
2k
2k
)
-
$ (,o)
L