WorksheetsHPC_Log-Exp Review
Total questions: 30
Worksheet time: 1hrs 13mins
Name
Class
Date
1.
a)
k = 3.495
b)
k = 0.582
c)
k = 20.968
d)
k = 0.699
2.
a)
19th year
b)
21st year
c)
30th year
d)
10th year
3.
a)
8,202 mowers
b)
18,031 mowers
c)
18,886 mowers
d)
24,234 mowers
4.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
5.
Expand.
Log5 x3/ y2
Log5 x3/ y2
a)
A
b)
B
c)
C
d)
D
6.
Condense.
6 log6 x + 2 log6 y
6 log6 x + 2 log6 y
a)
A
b)
B
c)
C
d)
D
7.
Expand
a)
A
b)
B
c)
C
d)
D
8.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
9.
Write as one logarithm. Simplify, if possible.
log63 + log62
log63 + log62
a)
0
b)
log65
c)
log61
d)
1
10.
log41 =
a)
0
b)
1
c)
4
d)
DNE
11.
Separate; write as multiple logs: log (2x3)
a)
log 2 + 3 log x
b)
3 log 2x
c)
log 2* 3 log x
d)
2 log x3
12.
a)
1.82
b)
3.17
c)
3.05
d)
1.63
13.
a)
3.39
b)
2.60
c)
2.58
d)
3.02
14.
a)
1.40
b)
2.02
c)
1.45
d)
1.28
15.
a)
no solution
b)
only 6
c)
6 and -2
d)
3
16.
Solve.
a)
A
b)
B
c)
C
d)
D
17.
log2(x + 2) + log2x = 3
a)
-4, 2
b)
-2, 4
c)
2 ; -4 is extraneous
d)
1 ; -3 is extraneous
18.
Logarithms and Exponentials are what?
a)
parallel
b)
perpendiular
c)
inverses
d)
congurent
19.
The inverse of a logarithmic function and the logarithmic function do what on a graph?
a)
The are perpendicular.
b)
They are parallel.
c)
They reflect over the line y=x.
d)
There is nothing special .
20.
The range for a logarithm function is:
a)
( - 1, 1)
b)
All real numbers
c)
All negative numbers
d)
(0, 1)
21.
The natural logarithm (ln) is a logarithm with a base of what?
a)
a
b)
2
c)
10
d)
e
22.
Domain of y = log x ?
a)
(-∞, ∞)
b)
(0, ∞)
c)
[0, ∞)
d)
[-∞, ∞]
23.
Describe the transformations of f(x)= -log2(x+1)
a)
left one & y-axis reflection
b)
right one & y-axis reflection
c)
left one & x-axis reflection
d)
right one & x-axis reflection
24.
Pick the equation that matches the graph
a)
A
b)
B
c)
C
d)
D
25.
Match the graph with its equation
a)
y = log6(-x) + 1
b)
y = log6(x − 2) + 1
c)
y = log6(x + 2) - 1
d)
y = log(x-8) + 1
26.
Match the graph with its equation
a)
y = log5 (x + 1) + 1
b)
y = log5 (x - 1) + 1
c)
y = log5 (x2) + 1
d)
y = log5 (x)-1
27.
Match the graph with its equation
a)
y = log4 (x)+2
b)
y = log4 (x + 2) + 1
c)
y = log4 (x - 1) + 2
d)
y = log4 (-x + 2)
28.
a)
y = 2x
b)
y = .5x
c)
y = 1x
d)
y = -2x
29.
a)
y = 2x
b)
y = .5x
c)
y = 1x
d)
y = -2x
30.
Solve for x:
92x-4 = 27x-1
Calculator ok
92x-4 = 27x-1
Calculator ok
a)
4
b)
1
c)
-1
d)
5
100 %
