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Worksheets

Logs Practice

Total questions: 21

Worksheet time: 15mins

Name
Class
Date
1.
Write the following equation in logarithmic form:
35 = 243
a)
log35 = 243
b)
log2433 = 5
c)
log5243 = 3
d)
log3243 = 5 
2.
Write the following equation in exponential form:
log232 = 5
a)
25 = 32
b)
232 = 5
c)
52 = 32
d)
322 = 5
3.
Change to Exponential Form:
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
4.
Rewrite in exponential form: 
2=log9x
a)
9x=2
b)
2x=9
c)
29=x
d)
92=x
5.
Rewrite as a log: 54=625
a)
log45=625
b)
log5625=4
c)
4=log6255
d)
5=log4625
6.
log525 = ?
a)
2
b)
5
c)
125
7.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
8.
Change to Logarithmic Form:
122 = 144
a)
log 2 144 = 12
b)
log 12 144 = 2
c)
log 12 2 = 144
d)
log 2 12 = 144
9.
log41 = 
a)
0
b)
1
c)
4
d)
DNE
10.
Simplify the following logarithmic function:
log216=
a)
2
b)
16
c)
8
d)
4
11.
When would we use this formula? A = Pe rt
a)
interest increases by fixed amount
b)
compound interest 
c)
compound continuously 
d)
decreases by fixed percent
12.
Evaluate log327
a)
3
b)
9
c)
27
d)
-3
13.

Solve for x : 3x = 32

a)

3

b)

3.1546

c)

.3170

d)

.0938

14.

Solve for x: 2 + 4x = 20

a)

2.0850

b)

2.1610

c)

.4796

d)

4.5

15.

Solve for x: 2(3)x = 24

a)

1.7737

b)

2.2619

c)

4

d)

.4421

16.

Solve for t: 4000=250(1.03)t

a)

15.5340

b)

1.4941

c)

93.7991

d)

.01066

17.

Solve for t: 4000=25000(1- .15)t

a)

.136

b)

.8324

c)

.08868

d)

11.2761

18.

If you see a base of e, you must use...

a)

LN

b)

LOG

c)

the force

19.

Solve for t: 5000=1000e(.08t)

a)

20.1180

b)

4.6156

c)

8.7371

20.

What are logarithms (logs) used for?

a)

To build fires

b)

To solve for exponents

c)

To solve for the initial amount

21.

When is your quiz?

a)

Friday (tomorrow)

b)

we have a quiz???