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Worksheetslogarithms
Total questions: 22
Worksheet time: 52mins
Name
Class
Date
1.
Write 52 = 25 in logarithmic form
a)
log5 2 = 25
b)
log5 25 = 2
c)
log2 25 = 5
d)
No Correct Answer
2.
Write log2 0.25 = -2 in exponential form
a)
-22 = 0.25
b)
-20.25 = 2
c)
2-2 = 0.25
d)
No correct answer
3.
Expand log x √(y)
a)
log x + 1/2 log y
b)
1/2 log x + 1/2 log y
c)
log x - 1/2 log y
d)
log x + 2 log y
4.
Write 2 log x - log y as a single logarithm
a)
log x2 y
b)
log x2 y2
c)
log x2/y
d)
log (x / y)2
5.
Write
log x - (1/3)log y - (1/2)log z2
as a single logarithm
log x - (1/3)log y - (1/2)log z2
as a single logarithm
a)
log (x / y3z4)
b)
log (x / y3z)
c)
log (x / (∛y)z))
d)
No Correct Answer
6.
Expand ln xy2z3
a)
6(lnx + lny - lnz)
b)
lnx + 2lny - 3lnz
c)
lnx + (1/2)lny + (1/3)lnz
d)
lnx + 2lny + 3lnz
7.
Change the logarithm into an exponent:
log4x = 2
log4x = 2
a)
42 = x
b)
x2 = 4
c)
4x = 2
d)
24 = x
8.
log216 = x
a)
16x = 2
b)
x2 = 16
c)
162 = x
d)
2x = 16
9.
Change to a logarithm
42 = x
42 = x
a)
logx4 = 2
b)
log42 = x
c)
log2x = 4
d)
log4x = 2
10.
log216 = x
a)
16x = 2
b)
x2 = 16
c)
162 = x
d)
2x = 16
11.
Solve this log:
log4.5 3.3
log4.5 3.3
a)
1.260
b)
.794
c)
0.733
d)
0.519
12.
Simplify 7log7(2x)
a)
0
b)
2x
c)
2
d)
1
13.
Simplify log443x
a)
3x
b)
3
c)
4
d)
43x
14.
a)
A
b)
B
c)
C
d)
D
15.
a)
A
b)
B
c)
C
d)
D
16.
a)
A
b)
B
c)
C
d)
D
17.
log2(x + 5) = 3
a)
3
b)
4
c)
5
d)
6
18.
log (x) + log (x) = log (25)
a)
-5, 5
b)
5
c)
-5
d)
25
19.
4(x-2)= 64(x+1)
a)
-2/5
b)
-5/2
c)
7/2
d)
2/7
20.
log2(x + 2) + log2x = 3
a)
-4, 2
b)
-2, 4
c)
2 ; -4 is extraneous
d)
1 ; -3 is extraneous
21.
Solve log5(4x-7)=log5(x+5).
a)
x=4
b)
x=-4
c)
x=3
d)
x=-2
22.
Solve: 23x = 15
a)
2.3
b)
-2.3
c)
1.3
d)
-1.3
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