NEW
Font size
S
M
L
XL
WorksheetsAlgebra 2 Unit 4 Logarithms
Total questions: 24
Worksheet time: 6hrs 33mins
Name
Class
Date
1.
Solve the Equation
a)
k = 3.39
b)
k = 2.60
c)
k = 2.58
d)
k = 3.02
2.
Solve the Equation
a)
m = -0.84
b)
m = -1.49
c)
m = -1.40
d)
m = -2.55
3.
Solve the Equation
a)
n = -1.12
b)
n = -1.16
c)
n = -0.64
d)
n = -2.10
4.
Solve the Equation
a)
n = -6.16
b)
n = -5.11
c)
n = 8.03
d)
n = -3.51
5.
Solve the Equation
a)
n = 6
b)
n = -3.99
c)
n = 9.01
d)
n = -5.33
6.
Solve the Equation
a)
n = -1.44
b)
n = 12
c)
n = -8
d)
n = -4
7.
Solve the Equation
a)
x = 0.76
b)
x = 23.30
c)
x = 0.91
d)
x = 3.46
8.
a)
5log6(a) + 6log6(c) − 30log6(b)
b)
log6(a) + 6log6(c) − 5log6(b)
c)
6log6(a) − 6log6(c) − 30log6(b)
d)
6log6(a) + 6log6(c) − 30log6(b)
9.
a)
log8(a2/cb3)
b)
log8(ca2/b3)
c)
log8(a2cb3)
d)
log(a2 − c − b3)
10.
a)
log5(x2z2y10)
b)
log5(z2y2x10)
c)
log(zy2x10)
d)
log5(z2 + y2 + x10)
11.
a)
60 log(ab)
b)
6log(a) + log(b)
c)
log(a) - 30 log(b)
d)
6log(a) + 30 log(b)
12.
a)
2ln(xyz)
b)
ln(x) + ln(y) + ln(z)
c)
ln(x) - ln(y) - 2ln(z)
d)
ln(x) + ln(y) + 2ln(z)
13.
a)
log (a5 + b25)
b)
log (a5 − b25)
c)
log (ab25)
d)
log (a5/b25)
14.
a)
log3(a36 − b6)
b)
log3(a36 + b6)
c)
log(a36b6)
d)
log3(a36/b6)
15.
Re-Write the Exponential Equation into Logarithmic Form
5x = 625
5x = 625
a)
x = log5625
b)
log5x = 625
c)
5 = logx625
d)
log5x = 625
16.
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
17.
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
18.
Re-Write the Exponential Equation into Logarithmic Form
yt= k
yt= k
a)
logyk = t
b)
logky = t
c)
k = logyt
d)
y = logkt
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.
What is the base of the logarithm:
ln(8) = 2.08 ?
ln(8) = 2.08 ?
a)
e
b)
10
c)
2.08
d)
8
21.
What is the base of the logarithm:
log(100) = 2 ?
log(100) = 2 ?
a)
2
b)
10
c)
e
d)
50
22.
Re-Write the Logarithm Equation into Exponential Form
logxk = 7
logxk = 7
a)
x7 = k
b)
7x = k
c)
xk = 7
d)
7k = x
23.
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
24.
Evaluate the Logarithm: log4(1/256)
a)
4
b)
-4
c)
64
d)
-64
Reset
