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WorksheetsRewriting Logs and Exponentials
Total questions: 11
Worksheet time: 14mins
Name
Class
Date
1.
Evaluate:
log416
log416
a)
2
b)
4
c)
1/2
d)
-2
2.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
3.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
4.
Write in exponential form.
log232 = 5
log232 = 5
a)
2-5 = 32
b)
232 = 5
c)
25 = 32
d)
325 = 2
5.
Write in exponential form.
log2(1/8) = -3
log2(1/8) = -3
a)
2-3 = 1/8
b)
21/8 = -3
c)
-32 = 1/8
d)
-31/8 = 2
6.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
7.
Solve for x
log8(x) = 2
log8(x) = 2
a)
x = 256
b)
x = 64
c)
x = 16
d)
x = 32
8.
Solve for x
5x = 17
5x = 17
a)
x = log175
b)
x = log 5 + log 17
c)
x = log517
d)
x = (log 5)/(log 17)
9.
Factor completely: 0.25x + 4.75
a)
0.75(x + 4)
b)
0.25(x + 19)
c)
0.5(0.5x + 9.5)
d)
0.25(x + 4.5)
10.
log41 =
a)
0
b)
1
c)
4
d)
DNE
11.
Write in logarithmic form.
2-4 = 1/16
2-4 = 1/16
a)
log2(1/16) = -4
b)
log-4(1/16) = 2
c)
log -4 2 = 1/16
d)
log2(-4) = 1/16
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