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1. Evaluate the function at the indicated value of x. Round your result to three decimal
places.
Function: f(x) = 0.5x Value: x = 1.7
-0.308
1.7
0.308
0.5
-1.7
5 points
QUESTION 2
1. Match the graph with its exponential function. y = 2-x - 3
y = -2x + 3
y = 2x + 3
y = 2x - 3
y = -2x - 3
5 points
QUESTION 3
1. Select the graph of the function.
f(x) = 5x-1 5 points
QUESTION 4
1. Evaluate the function at the indicated value of x. Round your result to three decimal
places.
Function: f(x) = 500e0.05x Value: x=17
1169.823
1369.823
1569.823
1269.823
1469.823
5 points
QUESTION 5
1. Use the One-to-One property to solve the equation for x.
3x+5
e = 36
x = -1/3
x2 = 6
x = -3
x = 1/3 x=3
5 points
QUESTION 6
1. Write the logarithmic equation in exponential form.
log8 64 = 2
648 = 2
82 = 16
82 = 88
82 = 64
864 = 2
5 points
QUESTION 7
1. Write the logarithmic equation in exponential form.
log7 343 = 3
7343 = 2
73 = 77
73 = 343
73 = 14
3437 = 2
5 points
QUESTION 8
1. Write the exponential equation in logarithmic form.
3
4 = 64
log64 4 = 3
log4 64 = 3
log4 64 = -3
log4 3 = 64
log4 64 = 1/3
5 points
QUESTION 9
1. Use the properties of logarithms to simplify the expression.
log20 209
0
-1/9
1
/9
-9
9
5 points
QUESTION 10
1. Use the One-to-One property to solve the equation for x.
log2(x+4) = log2 20 19
17
18
16
20
5 points
QUESTION 11
1. Find the exact value of the logarithmic expression.
log6 36
2
6
36
-2
none of these
5 points
QUESTION 12
1. Use the properties of logarithms to expand the expression as a sum, difference, and/or
constant multiple of logarithms. (Assume all variables are positive.)
log3 9x log3 9 x log3 x
log3 9 + log3 x
log3 9 log3
none of these
5 points
QUESTION 13
1. Condense the expression to a logarithm of a single quantity.
logx - 2logy + 3logz 5 points
QUESTION 14
1. Evaluate the logarithm using the change-of-base formula. Round your result to three
decimal places.
log4 9
1.585
5.585
3.585
4.585
2.585
5 points
QUESTION 15
1. Determine whether the given x-value is a solution (or an approximate solution) of the
equation.
2x-7
4 = 16
x=5
no
yes
5 points
QUESTION 16
1. Solve for x.
x
3 = 81
7
3
4
-4
-3
5 points
QUESTION 17
1. Solve the exponential equation algebraically. Approximate the resulte to three decimal
places.
e5x = ex2-14
-7, -2
7, -2
5, -14
7, 2
-7, 2
5 points
QUESTION 18
1. Solve the logarithmic equation algebraically. Approximate the result to three decimal
places.
log3(6x-8) = log3(5x + 10) 18
20
17
19
-2
5 points
QUESTION 19
1. Find the magnitude R of each earthquake of intensity I (let I0=1).
I = 19000
3.28
5.28
4.28
2.38
6.28
5 points
QUESTION 20
1. $2500 is invested in an account at interest rate r, compounded continuously. Find the
time required for the amount to double. (Approximate the result to two decimal
places.)
r = 0.0570
13.16 years
10.16 years
11.16 years
12.16 years
14.16 years
1. Evaluate the function at the indicated value of x. Round your result to three decimal
places.
Function: f(x) = 0.5x Value: x = 1.7
-0.308
1.7
0.308
0.5
-1.7
5 points
QUESTION 2
1. Match the graph with its exponential function. y = 2-x - 3
y = -2x + 3
y = 2x + 3
y = 2x - 3
y = -2x - 3
5 points
QUESTION 3
1. Select the graph of the function.
f(x) = 5x-1 5 points
QUESTION 4
1. Evaluate the function at the indicated value of x. Round your result to three decimal
places.
Function: f(x) = 500e0.05x Value: x=17
1169.823
1369.823
1569.823
1269.823
1469.823
5 points
QUESTION 5
1. Use the One-to-One property to solve the equation for x.
3x+5
e = 36
x = -1/3
x2 = 6
x = -3
x = 1/3 x=3
5 points
QUESTION 6
1. Write the logarithmic equation in exponential form.
log8 64 = 2
648 = 2
82 = 16
82 = 88
82 = 64
864 = 2
5 points
QUESTION 7
1. Write the logarithmic equation in exponential form.
log7 343 = 3
7343 = 2
73 = 77
73 = 343
73 = 14
3437 = 2
5 points
QUESTION 8
1. Write the exponential equation in logarithmic form.
3
4 = 64
log64 4 = 3
log4 64 = 3
log4 64 = -3
log4 3 = 64
log4 64 = 1/3
5 points
QUESTION 9
1. Use the properties of logarithms to simplify the expression.
log20 209
0
-1/9
1
/9
-9
9
5 points
QUESTION 10
1. Use the One-to-One property to solve the equation for x.
log2(x+4) = log2 20 19
17
18
16
20
5 points
QUESTION 11
1. Find the exact value of the logarithmic expression.
log6 36
2
6
36
-2
none of these
5 points
QUESTION 12
1. Use the properties of logarithms to expand the expression as a sum, difference, and/or
constant multiple of logarithms. (Assume all variables are positive.)
log3 9x log3 9 x log3 x
log3 9 + log3 x
log3 9 log3
none of these
5 points
QUESTION 13
1. Condense the expression to a logarithm of a single quantity.
logx - 2logy + 3logz 5 points
QUESTION 14
1. Evaluate the logarithm using the change-of-base formula. Round your result to three
decimal places.
log4 9
1.585
5.585
3.585
4.585
2.585
5 points
QUESTION 15
1. Determine whether the given x-value is a solution (or an approximate solution) of the
equation.
2x-7
4 = 16
x=5
no
yes
5 points
QUESTION 16
1. Solve for x.
x
3 = 81
7
3
4
-4
-3
5 points
QUESTION 17
1. Solve the exponential equation algebraically. Approximate the resulte to three decimal
places.
e5x = ex2-14
-7, -2
7, -2
5, -14
7, 2
-7, 2
5 points
QUESTION 18
1. Solve the logarithmic equation algebraically. Approximate the result to three decimal
places.
log3(6x-8) = log3(5x + 10) 18
20
17
19
-2
5 points
QUESTION 19
1. Find the magnitude R of each earthquake of intensity I (let I0=1).
I = 19000
3.28
5.28
4.28
2.38
6.28
5 points
QUESTION 20
1. $2500 is invested in an account at interest rate r, compounded continuously. Find the
time required for the amount to double. (Approximate the result to two decimal
places.)
r = 0.0570
13.16 years
10.16 years
11.16 years
12.16 years
14.16 years
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