WorksheetsChapter 4 Review
Total questions: 20
Worksheet time: 2hrs 4mins
Name
Class
Date
1.
NC
Solve: log 100
Solve: log 100
a)
10
b)
2
c)
5
d)
15
2.
Which one of these is not a logarithmic law?
a)
log A+log B=log (AB)
b)
log A−log B=log (A/B)
c)
log A ± C= log (AC)
d)
n log A=log (A^n)
3.
NC
Write a logarithmic equation for: 8=2³
Write a logarithmic equation for: 8=2³
a)
log₂8=3
b)
log₃8=2
c)
log₈3=2
d)
log₈2=3
4.
NC
log₄(200)
log₄(200)
a)
log₄24+log₄6
b)
log 20+log 10
c)
log₄2+log₄10
d)
log₄25+log₄8
5.
Rewrite without using log: log₂A=log₂b+6log₂c
a)
A=bc⁶
b)
A=6bc
c)
6=Abc
d)
2A=2bc⁶
6.
Solve: (log₅81)/(log₅9)
a)
9
b)
72
c)
2
d)
90
7.
NC
Rearrange to give n in terms of P: P=100×4½ⁿ
Rearrange to give n in terms of P: P=100×4½ⁿ
a)
n=(log P+100)(½log 4)
b)
n=(log P-log 100)/(½log 4)
c)
n=(log 100+½log 4)+4
d)
n=½log 4(log 100-log P)
8.
NC
Solve for n: 1+12e⁻ⁿ=eⁿ
Solve for n: 1+12e⁻ⁿ=eⁿ
a)
n=ln 12
b)
n=4
c)
n=ln 4
d)
n=-12
9.
a)
Change of Base Rule
b)
Base b Rule
c)
Basic Log Rule
d)
Division Rule for Logs
10.
Find log₂9 by letting log₂9=x
a)
x=(log 2)/(log 9)=.315
b)
x=log 18=1.26
c)
x=log 9+log 2=1.26
d)
x=(log 9)/(log 2)=3.17
11.
Solve for x: log₄x³+log₂√x=8
a)
x=24
b)
x=16
c)
x=64
d)
x=4
12.
a)
y=ax
b)
y=x^a...for -1<x<1
c)
y=a
d)
y=a^x...for 0<a<1
13.
What is the vertical asymptote of y=logₐx
a)
0
b)
1
c)
5
d)
10
14.
We can only find logarithms for positive numbers.
a)
True
b)
False
15.
a)
A: y=ln(x)
B: y=ln(x-2)
B: y=ln(x-2)
b)
A: y=ln(x-2)
B: ln(x)
B: ln(x)
c)
A: y=log(x)
B: y=log(x+2)
B: y=log(x+2)
d)
A: y=ln(x)
B: y=ln(x+2)
B: y=ln(x+2)
16.
NC
a)
D: x<0, x<-5
R: both are all real numbers
R: both are all real numbers
b)
D: x>0, x>5
R: both are all real numbers
R: both are all real numbers
c)
D: x>0, x>-5
R: both are all real numbers
R: both are all real numbers
d)
D: x>2, x>5
R: both are all real numbers
R: both are all real numbers
17.
NC
Write as a logarithmic equation: T=5/√t
Write as a logarithmic equation: T=5/√t
a)
log T=log 5/½log t
b)
log T=log 5-½log t
c)
log T=log 5-log t²
d)
log T=log 5/log t²
18.
Fing log₂256
a)
12
b)
6
c)
11
d)
8
19.
How do you find the value of an investment after 'a' periods?
a)
uₐ+1=u₁×r^a
b)
uₐ=u₁+r^a
c)
uₐ-1=u₁×r^a
d)
uₐ/1=u₁+r^a
20.
a)
Decay
b)
Growth
100 %
