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WorksheetsSimplifying Logs
Total questions: 13
Worksheet time: 23mins
Name
Class
Date
1.
Rewrite log28 = 3 in exponential form
a)
28 = 3
b)
23 = 8
c)
32 = 8
d)
83 = 2
2.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
3.
Evaluate.
log381
log381
a)
4
b)
1/4
c)
-4
d)
-1/4
4.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
5.
Write the logarithm expression as a single logarithm
log625 - log65
a)
log6125
b)
log520
c)
log65
d)
log630
6.
Write the logarithm expression as a single logarithm
log460 - log44 + log4x
a)
log415
b)
log415x
c)
log456x
d)
xlog430
7.
log16(4) = y
a)
y = 2
b)
y = 4
c)
y = (1/2)
d)
y = (1/4)
8.
If possible, write this as a single logarithm:
log214 +log212 −log215a)
log211
b)
log21(58)
c)
log1(21)
d)
Not Possible
9.
Simplifying using the laws of logarithms
a)
log(10)
b)
log(21)
c)
log(343)
d)
log(4)
10.
Simplifying using the laws of logarithms
a)
log(10)
b)
log(3)
c)
log(20)
d)
log(75)
11.
Simplifying using the laws of logs
a)
log(12)
b)
log(8)
c)
log(3)
d)
log(4)
12.
Simplifying using the laws of logs
a)
log(48)
b)
log(4)
c)
log(80)
d)
log(8)
13.
Simplifying using laws of logarithms
a)
log(56)
b)
log(9)
c)
log(70)
d)
log(8)
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