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WorksheetsLogarithm practice (made especially for Elane :) )
Total questions: 15
Worksheet time: 42mins
Name
Class
Date
1.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
2.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
3.
Expand the logarithm
log10 7x
log10 7x
a)
(log10 7)(log10 x)
b)
log10 7 + log10 x
c)
7log10 x
d)
xlog10 7
4.
Condense
a)
A
b)
B
c)
C
d)
D
5.
Expand
a)
A
b)
B
c)
C
d)
D
6.
a)
1.82
b)
3.17
c)
3.05
d)
1.63
7.
Write as one logarithm. Simplify, if possible.
log39 + log327
log39 + log327
a)
-1
b)
5
c)
4
d)
1
8.
The natural logarithm has what base?
a)
10
b)
0
c)
e
d)
-e
9.
Expand ln xy2z3
a)
6(lnx + lny - lnz)
b)
lnx + 2lny - 3lnz
c)
lnx + (1/2)lny + (1/3)lnz
d)
lnx + 2lny + 3lnz
10.
Solve for x:
5 e6x+3 = 0.1
5 e6x+3 = 0.1
a)
-1.152
b)
0.232
c)
-3.077
d)
-0.854
11.
Which of the following is the value of x given;
e^(x + 6) = 12
e^(x + 6) = 12
a)
x = ln 6
b)
x = -6 + ln12
c)
x = ln72
d)
x = ln(-2)
12.
Write the equation in logarithmic form.
e(x−9)=74
a)
ln(x−9)=74
b)
x−9=ln74
13.
Solve 5e3x - 2 + 15 = 35
a)
1.13
b)
1.29
c)
1.10
d)
0.87
14.
What is the log form of a = ey ?
a)
ln(a) = y
b)
ln(y) = a
c)
log(a) = y
d)
log(y) = a
15.
The population of a small coastal resort town, currently 3400, grows at a rate of 3% per year. This growth can be expressed by the exponential equation P = 3400(1+.03)x, where P is the population after t years. Find the number of whole years it will take for the population to reach approximately 10,000?
a)
20 years
b)
26 years
c)
30 years
d)
36 years
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