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WorksheetsALG 2: 4-4 Fundamentals of Logarithms
Total questions: 20
Worksheet time: 40mins
Name
Class
Date
1.
Evaluate the Logarithm: log5125
a)
3
b)
25
c)
-25
d)
-3
2.
Evaluate the Logarithm: log3(1/81)
a)
27
b)
-4
c)
4
d)
-27
3.
Evaluate the Logarithm: log4(1/256)
a)
4
b)
-4
c)
64
d)
-64
4.
Evaluate the Logarithm: log2(1/256)
a)
8
b)
-8
c)
128
d)
12
5.
Evaluate the Logarithm: log15225
a)
2
b)
-2
c)
15
d)
-15
6.
Re-Write the Exponential Equation into Logarithmic Form
5x = 625
5x = 625
a)
x = log5625
b)
log5x = 625
c)
5 = logx625
d)
log5x = 625
7.
Re-Write the Exponential Equation into Logarithmic Form
e4 = 54.60
e4 = 54.60
a)
4 = ln (54.60)
b)
ln (4) = 54.60
c)
4 = log (54.60)
d)
log (e) = 54.60
8.
Re-Write the Exponential Equation into Logarithmic Form
ek = 7.39
ek = 7.39
a)
ln (7.39) = k
b)
ln (7.39) = e
c)
log (7.39) = k
d)
log (e) = 7.39
9.
Re-Write the Exponential Equation into Logarithmic Form
3-5 = 1/243
3-5 = 1/243
a)
log3(1/243) = -5
b)
log3(1/243) = 5
c)
log3(243) = -5
d)
log3(-5) = 243
10.
Re-Write the Exponential Equation into Logarithmic Form
k-6 = 1/64
k-6 = 1/64
a)
logk(1/64) = -6
b)
logk(64) = -6
c)
logk(1/64) = 6
d)
logk(-6) = 1/64
11.
Re-Write the Exponential Equation into Logarithmic Form
x-z = 1/32
x-z = 1/32
a)
logx(1/32) = -z
b)
logx(1/32) = z
c)
logx(-z) = 1/32
d)
logz(1/32) = -x
12.
Re-Write the Exponential Equation into Logarithmic Form
yt= k
yt= k
a)
logyk = t
b)
logky = t
c)
k = logyt
d)
y = logkt
13.
Re-Write the Logarithm Equation into Exponential Form
log3243 = 5
log3243 = 5
a)
243 = 35
b)
243 = 53
c)
3 = 2435
d)
243 = 53
14.
Re-Write the Logarithm Equation into Exponential Form
logx256 = 4
logx256 = 4
a)
256 = x4
b)
4x = 256
c)
4 = x256
d)
256x = 4
15.
Re-Write the Logarithm Equation into Exponential Form
logxk = 7
logxk = 7
a)
x7 = k
b)
7x = k
c)
xk = 7
d)
7k = x
16.
Re-Write the Logarithm Equation into Exponential Form
logy9 = b
logy9 = b
a)
9 = yb
b)
y9 = b
c)
9 = by
d)
9y = b
17.
Re-Write the Logarithm Equation into Exponential Form
loghw = d
loghw = d
a)
w = hd
b)
wd = h
c)
h = wd
d)
hw = d
18.
Re-Write the Logarithm Equation into Exponential Form
log (1000) = 3
log (1000) = 3
a)
1000 = 103
b)
10 = 10003
c)
310 = 1000
d)
101000 = 3
19.
Re-Write the Logarithm Equation into Exponential Form
log (c) = 5
log (c) = 5
a)
c = 105
b)
c = 510
c)
5c = 10
d)
c5 = 10
20.
Re-Write the Logarithm Equation into Exponential Form
ln (k) = r
ln (k) = r
a)
k = er
b)
k = re
c)
kr = e
d)
rk = e
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