WorksheetsExponential and Log Preassessment
Total questions: 25
Worksheet time: 1hrs 4mins
Name
Class
Date
1.
Solve for n:
23n = 4
23n = 4
a)
2
b)
3
c)
2/3
d)
4
2.
Solve for x:
2x+6=25
2x+6=25
a)
-1
b)
11
c)
1
d)
-11
3.
Solve: 98-x = 27x-3
a)
5
b)
-5
c)
1/5
d)
-1/5
4.
Change to Exponential Form:
log636 = 2
log636 = 2
a)
26=36
b)
62=36
c)
362=6
d)
366=2
5.
Write logb(x/y) as two logs
a)
logbx-logby
b)
logbx+logby
c)
logbx*logby
d)
logbx/logby
6.
Solve the following for 'x';
log6(3x - 2) = log6(5x - 8)
a)
x = 3
b)
x = 2
c)
x = -1
d)
No Solution
7.
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
8.
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)
9.
Solve for x: log6x + log6(x-5) = 2
a)
√7
b)
9
c)
4
d)
none of these
10.
Evaluate log5 20 to the third decimal place
a)
0.537
b)
2.996
c)
1.301
d)
1.861
11.
Evaluate log41
a)
1
b)
0
c)
4
d)
undefined
12.
eln(f)
a)
f
b)
e
c)
ef
d)
undefined
13.
Write the exponential equation as a logarithm
63=216
63=216
a)
log6(3) = 216
b)
log3(6) = 216
c)
log6(216)=3
d)
log216(6)=3
14.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
15.
Rewrite logpt = m in exponential form.
a)
pt = m
b)
tm = p
c)
mt = p
d)
pm = t
16.
log (-1) =
a)
0.1
b)
.01
c)
all real numbers
d)
does not exist
17.
What type of function is f(x)=2(1/7)x ?
a)
Exponential Growth
b)
Linear
c)
Exponential Decay
d)
None of the Abovee
18.
Is the graph linear, exponential or neither?
a)
Linear
b)
Exponential
c)
Neither
19.
Write an equation that models the following situation:
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
Samantha's hair was known to grow very rapidly. It began at a length of 6 in and grew at a rate of 14% a week.
a)
y=6(0.14)x
b)
y=6(1+14)x
c)
y=6(1.14)x
d)
y=6(0.86)x
20.
The equation A = 1300(1.02)7 is being used to calculate the amount of money in a savings account. What does the 1.02 represent in this equation?
a)
0.02% decay
b)
0.02% growth
c)
2% decay
d)
2% growth
21.
$2500 was deposited in a bank account with an annual interest rate of 4.2% where interest is compounded monthly. Assuming no deposits or withdrawals were made, how much money will be in the account after 8 years?
a)
$3498.35
b)
$3474.42
c)
$3492.22
d)
$3496.30
22.
Wendy deposits $7550 in an account in which interest compounds continuously. What is the interest rate if the account balance doubles in 10 years?
a)
20%
b)
6.9%
c)
6.7%
d)
6.3%
23.
What is the y-intercept of the function?
a)
2
b)
3
c)
1
d)
-2
24.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
INITIAL AMOUNT
d)
GROWTH OR DECAY FACTOR
25.
How are exponential and logarithmic functions related?
a)
Opposites
b)
Inverses
c)
Cousins
d)
Reciprocals
100 %
