WorksheetsPrecalculus Logarithmic and Exponential Function Review
Total questions: 24
Worksheet time: 2hrs 57mins
Name
Class
Date
1.
Is this exponential growth or decay?
a)
Growth
b)
Decay
2.
Write in logarithmic form.
52 = 25
52 = 25
a)
log52 = 25
b)
log225 = 5
c)
log255 = 2
d)
log525 = 2
3.
Write in exponential form.
log232 = 5
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
4.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
5.
Find the value for x to the third decimal place: 10x =20
a)
2
b)
1.301
c)
0.5
d)
No Correct Answer
6.
log41 =
a)
0
b)
1
c)
4
d)
DNE
7.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
8.
Expand
a)
6log8v-2log8u
b)
6log8u-2log8v
c)
3log8u-2log8v
d)
6log8u+2log8v
9.
Solve
a)
A
b)
B
c)
C
d)
D
10.
Courtney saved up $2,200 working as a waitress over the summer. She put this money into a bank account that earned 5.2% interest and is compounded daily. How much will she have in her account at the end of 4 years?
a)
$2201.25
b)
$2694.55
c)
$2707.45
d)
$2708.63
11.
Use multiple log properties to write as a single log:
3log2x - log2y + log2z
3log2x - log2y + log2z
a)
log2(x/(yz))
b)
log2(x3yz)
c)
log2(x3z/y)
d)
log2(x3/(yz))
12.
Expand completely: log(2x5)
a)
log 2 + 5log x
b)
5log 2 + 5log x
c)
5log 2 + log x
d)
log 10 + log x
13.
a)
F
b)
G
c)
H
d)
J
14.
Solve for n:
23n = 4
23n = 4
a)
2
b)
3
c)
2/3
d)
4
15.
Solve: 98-x = 27x-3
a)
5
b)
-5
c)
1/5
d)
-1/5
16.
Evaluate log5 20 to the third decimal place
a)
0.537
b)
2.996
c)
1.301
d)
1.861
17.
Solve for x.
ex+6 + 5 = 1
ex+6 + 5 = 1
a)
-4.614
b)
-4.236
c)
No Solution
d)
-0.334
18.
A sum of $1000 is invested at an interest rate of 12% per year. Find the amount of in the account after 3 years if interest is compounded daily.
a)
$1404.93
b)
$1425.76
c)
$1430.77
d)
$1433.24
19.
Combine the following logarithms into a single logarithm: 3 ln s + ½ ln t - 4 ln v
a)
ln ((s3√(t))/v4)
b)
ln (3s√(t)/v4)
c)
12 ln (st/v)
d)
ln (s3√(t)/4v)
20.
Evaluate: log 4 17
a)
2.00
b)
2.12
c)
2.04
d)
2.43
21.
Radium-221 has a half-life of 30 seconds. How long will it take for 95% of a sample to decay? Round to the nearest second.
a)
120 seconds
b)
150 seconds
c)
140 seconds
d)
130 seconds
22.
Solve the exponential equation algebraically. (Round to three decimal places)
14e3x+2=560
14e3x+2=560
a)
0.563
b)
3.689
c)
1.442
d)
1.896
23.
Solve the exponential equation algebraically. (Round to three decimal places)
log10x-log10(8-5x)=2
log10x-log10(8-5x)=2
a)
1.584
b)
1.2
c)
1.597
d)
2.5
24.
Solve the following for 'x';
log6(3x - 2) = log6(5x - 8)
log6(3x - 2) = log6(5x - 8)
a)
x = 3
b)
x = 2
c)
x = -1
d)
No Solution
100 %
