WorksheetsExponentials and Logarithms
Total questions: 21
Worksheet time: 40mins
Name
Class
Date
1.
Write as one logarithm. Simplify, if possible.
log39 + log327
log39 + log327
a)
-1
b)
5
c)
4
d)
1
2.
Write as one logarithm. Simplify, if possible.
log63 + log62
log63 + log62
a)
0
b)
log65
c)
log61
d)
1
3.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
4.
Evaluate.
log6(1/216)
log6(1/216)
a)
3
b)
1/3
c)
-1/3
d)
-3
5.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
6.
Write in exponential form.
log232 = 5
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
7.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
8.
Rewrite in exponential form.
a)
A
b)
B
c)
C
d)
D
9.
Expand the logarithm.
a)
A
b)
B
c)
C
d)
D
10.
Condense into a single logarithm.
a)
A
b)
B
c)
C
d)
D
11.
Condense into a single logarithm.
a)
A
b)
B
c)
C
d)
D
12.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
13.
Solve the equation.
a)
A
b)
B
c)
C
d)
D
14.
Write as a single logarithm
a)
log xyz3
b)
log (xy/z3)
c)
log x + log y + log z3
d)
log x3y3z3
15.
Write as a single logarithm
a)
log8 (x6)/log8 (y3)
b)
log8 (x6/y3)
c)
log8 (x/y3)
d)
log8 (x6y3)
16.
Find the value for x to the third decimal place: ln x = 5
a)
148.413
b)
13.591
c)
100000
d)
1.610
17.
What is the value of ln(e7)
a)
2.718...
b)
1
c)
7
d)
Does not exist
18.
Rewrite in exponential form:
ln(2) = x
ln(2) = x
a)
2x = 10
b)
102 = x
c)
ex = 2
d)
e2 = x
19.
Solve the following equation for x. Round your solution to two decimal places.
ln2x - ln41 = 2
ln2x - ln41 = 2
a)
x = 0.36
b)
x = 151.48
c)
x = 41
d)
None of these are solutions
20.
Solve for x:
e2x = 11
e2x = 11
a)
x = (LN 11)/2
b)
x = 2loge11
c)
x = 2eLOG 11
d)
x = LN (11/2)
21.
Solve the following equation. Round your solution to two decimal places.
4 - 3 ln(2x + 10) = 12
4 - 3 ln(2x + 10) = 12
a)
x = 2.20
b)
x = 1.68
c)
x = -5.00
d)
x = -4.97
100 %
