- 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
- 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
- Select the graph of the function. f(x) = 5x-1
5 points
QUESTION 4
- Evaluate the function at the indicated value of x. Round your result to three decimal places. Function: f(x) = 500e05x Value: x=17
| 1169.823 | ||
| 1369.823 | ||
| 1569.823 | ||
| 1269.823 | ||
| 1469.823 |
5 points
QUESTION 5
- Use the One-to-One property to solve the equation for x. e3x+5 = 36
| x = –1/3 | ||
| x2 = 6 | ||
| x = -3 | ||
| x = 1/3 | ||
| x = 3 |
5 points
QUESTION 6
- Write the logarithmic equation in exponential form. log8 64 = 2
| 648 = 2 | ||
| 82 = 16 | ||
| 82 = 88 | ||
| 82 = 64 | ||
| 864 = 2 |
5 points
QUESTION 7
- Write the logarithmic equation in exponential form. log7 343 = 3
| 7343 = 2 | ||
| 73 = 77 | ||
| 73 = 343 | ||
| 73 = 14 | ||
| 3437 = 2 |
5 points
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 |
5 points
QUESTION 9
- Use the properties of logarithms to simplify the expression. log20209
| 0 | ||
| –1/9 | ||
| 1/9 | ||
| -9 | ||
| 9 |
5 points
QUESTION 10
- 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
- Find the exact value of the logarithmic expression. log6 36
| 2 | ||
| 6 | ||
| 36 | ||
| -2 | ||
| none of these |
5 points
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
| log3 9 x log3 x | ||
| log3 9 + log3 x | ||
| log3 9 log3 | ||
| none of these |
5 points
QUESTION 13
- Condense the expression to a logarithm of a single quantity. logx– 2logy + 3logz
5 points
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 |
5 points
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 |
5 points
QUESTION 16
- Solve for x. 3x = 81
| 7 | ||
| 3 | ||
| 4 | ||
| -4 | ||
| -3 |
5 points
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 |
5 points
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 |
5 points
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 |
5 points
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 | ||
| 14.16 years |
5 points
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