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Worksheets

common logs

Total questions: 11

Worksheet time: 24mins

Name
Class
Date
1.

Rewrite log28 = 3 in exponential form

a)

28 = 3

b)

23 = 8

c)

32 = 8

d)

83 = 2

2.
The common logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
3.
Log with a base "e" (loge) is the same thing as...
a)
"e"
b)
Natural Logarithm (LN)
c)
Common Logarithm (Log)
d)
Natural Log, base "e"
LNe
4.

Rewrite using Log Loop, then Solve

a)

x=3

b)

x=-3

c)

x=9

d)

x=-9

5.

Without a calculator, determine which of the following ISN"T possible. Check all that apply.

a)

log2 (x - 4) when x = 4

b)

log3 (x+3) when x = 0

c)

-2log5 (x-1) when x = 0

d)

1/2 log (x+4) when x = -2

6.
Write log3 81 = 4 in exponential form.
a)
814=3
b)
813=4
c)
43=81
d)
34=81
7.
Describe the transformation to the parent function:
g(x) = -2 log x+4
a)
Reflected, Expanded Vertically; Up 4
b)
Expanded Vertically; Down 4
c)
Reflected; Expanded Vertically; Down 4
d)
Expanded Vertically; Up 4
8.

 y=log7y=\log7  express in exponential form:

a)

 y=107y=10^7  

b)

 7=10y7=10^y  

c)

 10=7y10=7^y  

d)

 10=y710=y^7  

9.

 4ln1+3eln212lne204\ln1+3e^{\ln2}-\frac{1}{2}\ln e^{20}  evaluate

a)

4

b)

-4

c)

8

d)

-8

10.

natural log has a base of?

a)

e

b)

No base

c)

10

d)

n

11.

common log has a base of?

a)

no base

b)

e

c)

10

d)

0