WorksheetsExponential and Logs Review
Total questions: 25
Worksheet time: 6hrs 34mins
Name
Class
Date
1.
Change to exponential form.
loga2 = 5
a)
a2 = 5
b)
52 = a
c)
a5 = 2
d)
25 = a
2.
Change to logarithmic form.
3h = w
a)
logw3 = h
b)
log3w = h
c)
logh3 = w
d)
log3h = w
3.
Rewrite log3t = 5 in exponential form.
a)
5t=3
b)
log35 = log3t
c)
t5=3
d)
35=t
4.
Write in exponential form:
log 2 32 = 5
a)
25 = 32
b)
52 = 32
c)
532 = 2
d)
232 = 5
5.
Rewrite 34 = 81 in logarithmic form.
a)
log34 = 81
b)
log813 = 4
c)
log381 = 4
d)
log481 = 3
6.
Write in exponential form.
log2(1/8) = -3
log2(1/8) = -3
a)
2-3 = 1/8
b)
21/8 = -3
c)
-32 = 1/8
d)
-31/8 = 2
7.
Solve the equation for x.
a)
x = 2
b)
x = 3
c)
x = 8
d)
x = 64
8.
Solve the equation for x.
a)
2.41
b)
x = 12
c)
x = 33.333
d)
x = 5.99
9.
Rewrite logvn = a in exponential form.
a)
va = n
b)
na = v
c)
vn = a
d)
an = v
10.
Change to Logarithmic Form:
53 = 125
53 = 125
a)
log 5 125 = 3
b)
log 3 125 = 5
c)
log 5 3 =125
d)
log125 3 = 5
11.
Solve for n:
2-2n = 26
2-2n = 26
a)
n = -1
b)
n = -7
c)
n = 5
d)
n = -3
12.
Solve for x.
42x = 8
a)
x = 3
b)
x = 4
c)
x = 3/4
d)
x = 4/3
13.
In an exponential function, what does the 'a' represent?
a)
SLOPE
b)
RATE OF CHANGE
c)
Y-INTERCEPT
d)
COMMON RATIO
14.
Which function is exponential?
a)
f(x)
b)
h(x)
c)
g(x)
15.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
16.
Classify the following graph.
a)
Exponential Growth
b)
Exponential Decay
c)
Logarithmic
17.
What equation matches the graph?
a)
f(x) = 3x
b)
f(x) = (⅓)x
c)
f(x) = log₃(x)
18.
Is the pictured graph growth, decay, linear or none?
a)
Exponential Growth
b)
Exponential Decay
c)
Linear
d)
None
19.
Your shiny new boat cost $7650. The depreciation for your boat is 14% per year. Estimate the value of your vehicle in 3 years. What is the equation that models this problem?
a)
y= 7650(.14)3
b)
y= 7650(.86)3
c)
y= 7650(1+.86/1)3*1
20.
Cade earned $475 from mowing lawns last summer. He deposited this money in an account that pays an interest rate of 3.8% compounded annually. What will be his balance after 15 year?
a)
$827.52
b)
$831.10
c)
$839.45
d)
$846.80
21.
Olivia would like to buy some new furniture for her home. She decides to buy the furniture on credit with 9.5% interest compounded quarterly. If she spent $7,400, how much total will she have paid after 8 years.
a)
$15,415.94
b)
$15,683.28
c)
$15,927.56
d)
$16,109.05
22.
Solve for x.
3x = 27
3x = 27
a)
2
b)
4
c)
3
d)
5
23.
Halle deposited $4000 into an account that earns 5% interest each year. The growth of her investment can be expressed by the exponential equation, A = 4000(1 + .05)t, where A is the amount in the account after t years. In how many years will her account exceed $10,000?
a)
19 years
b)
16 years
c)
22 years
d)
25 years
24.
Which of the following functions shows an initial amount of $15 and an increase of 35% each year?
a)
y = 15(35)x
b)
y = 15(1.35)x
c)
y = 15(0.35)x
d)
y = 35(1.15)x
25.
You put your money into a savings account that earns 8% interest compounded annually. If you originally invested $1,240, how much is in your account after 2 years?
a)
$1,438.40
b)
$1297.94
c)
$1,446.34
d)
$4017.60
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