Math 112 Final Exam Study Aid Worksheet With Answer Key Page 34
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39Math 112
Final Exam Study Aid
34 of 39
b
117. Rewrite 23
= a in logarithmic form.
(A) log
b = 23 (B) log
a = b
(C) log
b = a
a
23
23
(D) log
23 = a (E) None of these
b
5
118. Find the exact value of ln
e
.
(A) 0.8
(B) 1.25
(C) e
(D) 0.8e
(E) None of these
119. Solve log
x = 2 and log
32 = w. The two solutions are:
5
2
(A) x =
5 and w =
32
(B) x = 25 and w = 5 (C) x = 32 and w = 16
(D) x = 25 and w = 16
(E) None of these
120. Express as a single logarithm and simplify if possible:
1
log
x + 4 log
y
2 log
z
a
a
a
3
1
7
xy
1/3
4
2
(A) log
[x
+ y
z
]
(B) log
x + 4y
2z
(C)
log
a
a
a
3
3
z
1/3
4
x
y
(D) log
(E) None of these
a
2
z
3
x
y
121. Express as a sum or difference of the natural logarithms of x, y, and z: ln
4
z
(3 ln x)(ln y)
3
(A)
(B)
ln x + ln y
4 ln z
4 ln z
2
3
1
(C)
ln x +
ln y
2 ln z
(D) 6 ln x + 2 ln y
4 ln z
2
2
(E) None of these
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