WorksheetsExponential & Logarithmic Functions
Total questions: 14
Worksheet time: 24mins
Name
Class
Date
1.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
2.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
3.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
4.
a)
F
b)
G
c)
H
d)
J
5.
Solve the following for 'x';
log6(3x - 2) = log6(5x - 8)
log6(3x - 2) = log6(5x - 8)
a)
x = 3
b)
x = 2
c)
x = -1
d)
No Solution
6.
Find the inverse of f(x) = -4x - 12
a)
f-1(x) = 4x - 3
b)
f-1(x) = -1/4x - 3
c)
f-1(x) = 1/4x + 3
d)
f-1(x) = -4x - 3
7.
The inverse has been reflected over which line?
a)
y = -x
b)
y =x
c)
y = 0
d)
y = x + 1
8.
What is the domain and range of this graph?
a)
D: all real numbers
R: all real numbers
R: all real numbers
b)
D: all real numbers
R: y ≥ 0
R: y ≥ 0
c)
D: x ≥ 2
R: y ≥ 3
R: y ≥ 3
d)
D: x ≤ 2
R: y ≤ 3
R: y ≤ 3
9.
Use multiple log properties to write as a sum or difference of two logs: log(4x3)
a)
log 4 + 3log x
b)
3log 4 + 3log x
c)
3log 4 + log x
d)
log 12 + log x
10.
Use multiple log properties to write as a single log:
log2x - 5log2y
log2x - 5log2y
a)
log2(x/y5)
b)
log2(xy5)
c)
log2(x/y)5
d)
log2(x/5y)
11.
Solve for x: log6x + log6(x-5) = 2
a)
√7
b)
9
c)
4
d)
none of these
12.
Solve: 7ⁿ⁺¹⁰−8 = 6
a)
-7.374
b)
-7.360
c)
-8.644
d)
-8.853
13.
Suppose a culture of bacteria begins with 500 cells and dies by 30% each year. Write an equation that represents this situation.
a)
y = 500(0.7)ⁿ
b)
y = 500(1.3)ⁿ
c)
y = 500(1.7)ⁿ
d)
y = 500(1.13)ⁿ
14.
Solve the following for the unknown value of x. Round your solution to two decimal places.
5 ln (3x - 2) = 15
5 ln (3x - 2) = 15
a)
x = 1.24
b)
x = 7.36
c)
x = 217,935.16
d)
x = 6.03
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