Question 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 |
Question 2
Match the graph with its exponential function.
y = 2-x - 3 | ||
y = -2x + 3 | ||
y = 2x + 3 | ||
y = 2x - 3 | ||
y = -2x - 3 |
Question 3
Select the graph of the function.
f(x) = 5x-1
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Question 4
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 |
Question 5
Use the One-to-One property to solve the equation for x.
e3x+5 = e6
x = -1/3 | ||
x2 = 6 | ||
x = -3 | ||
x = 1/3 | ||
x = 3 |
Question 6
Write the logarithmic equation in exponential form.
log8 64 = 2
648 = 2 | ||
82 = 16 | ||
82 = 88 | ||
82 = 64 | ||
864 = 2 |
Question 7
Write the logarithmic equation in exponential form.
log7 343 = 3
7343 = 2 | ||
73 = 77 | ||
73 = 343 | ||
73 = 14 | ||
3437 = 2 |
Question 8
Write the exponential equation in logarithmic form.
43 = 64
log64 4 = 3 | ||
log4 64 = 3 | ||
log4 64 = -3 | ||
log4 3 = 64 | ||
log4 64 = 1/3 |
Question 9
Use the properties of logarithms to simplify the expression.
log20 209
0 | ||
-1/9 | ||
1/9 | ||
-9 | ||
9 |
Question 10
Use the One-to-One property to solve the equation for x.
log2(x+4) = log2 20
19 | ||
17 | ||
18 | ||
16 | ||
20 |
Question 11
Find the exact value of the logarithmic expression.
log6 36
2 | ||
6 | ||
36 | ||
-2 | ||
none of these |
Question 12
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
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log3 9 x log3 x | ||
log3 9 + log3 x | ||
log3 9 log3 | ||
none of these |
Question 13
Condense the expression to a logarithm of a single quantity.
logx - 2logy + 3logz
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Question 14
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 |
Question 15
Determine whether the given x-value is a solution (or an approximate solution) of the equation.
42x-7 = 16
x = 5
no | ||
yes |
Question 16
Solve for x.
3x = 81
7 | ||
3 | ||
4 | ||
-4 | ||
-3 |
Question 17
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 |
Question 18
Solve the logarithmic equation algebraically. Approximate the result to three decimal places.
log3(6x-8) = log3(5x + 10)
18 | ||
20 | ||
17 | ||
19 | ||
-2 |
Question 19
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 |
Question 20
$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 |