## Question 1 of 20 |
0.0/ 5.0 Points |

Graph the function by making a table of coordinates.

f(x) = x

## Question 2 of 20 |
0.0/ 5.0 Points |

Use the graph of log_{5}x to obtain the graph of f(x) = 2log_{5}x.

## Question 3 of 20 |
0.0/ 5.0 Points |

The long jump record, in feet, at a particular school can be modeled by where x is the number of years since records began to be kept at the school. What is the record for the long jump *14 years*after record started being kept? Round your answer to the nearest tenth.

A. 20.3 feet | ||

B. 23.7 feet | ||

C. 24.1 feet | ||

D. 23.9 feet |

## Question 4 of 20 |
0.0/ 5.0 Points |

The rabbit population in a forest area grows at the rate of 7% monthly. If there are 180 rabbits in September, find how many rabbits (rounded to the nearest whole number) should be expected by next September. Use .

A. 402 | ||

B. 408 | ||

C. 428 | ||

D. 415 |

## Question 5 of 20 |
0.0/ 5.0 Points |

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer. ln (x – 6) + ln (x + 1) = ln (x – 15)

A. {3, -3} | ||

B. {-3} | ||

C. {3} | ||

D. Ø |

## Question 6 of 20 |
5.0/ 5.0 Points |

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

log_{6}x^{2} = log_{6}(5x + 36)

A. | ||

B. {9} | ||

C. Ø | ||

D. {9, -4} |

## Question 7 of 20 |
0.0/ 5.0 Points |

Evaluate or simplify the expression without using a calculator. log 1000

A. 3 | ||

B. 30 | ||

C. | ||

D. |

## Question 8 of 20 |
5.0/ 5.0 Points |

Use the graph of f(x) = log x to obtain the graph of g(x) = log x + 5.

## Question 9 of 20 |
0.0/ 5.0 Points |

The logistic growth function f(t) = models the number of people who have become ill with a particular infection* t*weeks after its initial outbreak in a particular community. How many people were ill after 9 weeks?

A. 88,450 people | ||

B. 87,000 people | ||

C. 84,502 people | ||

D. 540 people |

## Question 10 of 20 |
5.0/ 5.0 Points |

Use the graph of f(x) = ln x to obtain the graph of g(x) = -4 – ln x.

## Question 11 of 20 |
0.0/ 5.0 Points |

The formula S = A models the value of a retirement account, where *A* = the number of dollars added to the retirement account each year, *r *= the annual interest rate, and *S* = the value of the retirement account after *t *years. If the interest rate is 11%, how much will the account be worth after 15 years if $2200 is added each year? Round to the nearest whole number.

A. $86,218 | ||

B. $168,418 | ||

C. $11,675 | ||

D. $35,200 |

## Question 12 of 20 |
0.0/ 5.0 Points |

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

ln (x – 8) – ln (x + 7) = ln (x – 10) – ln (x + 8)

## Question 13 of 20 |
0.0/ 5.0 Points |

Solve the logarithmic equation. Be sure to reject any value that is not in the domain of the original logarithmic expressions. Give the exact answer.

log_{6}(5x – 5) = log_{6}(3x + 7)

A. {1} | ||

B. {6} | ||

C. Ø | ||

D. {2} |

## Question 14 of 20 |
0.0/ 5.0 Points |

Write the equation in its equivalent logarithmic form.

2^{3}= x

A. log_{2}x = 3 |
||

B. log_{2}3 = x |
||

C. log_{x}2 = 3 |
||

D. log_{3}x = 2 |

## Question 15 of 20 |
0.0/ 5.0 Points |

Use Newton’s Law of Cooling, T = C + (T0 – C.ekt, to solve the problem A cup of coffee with temperature 102°F is placed in a freezer with temperature 0°F. After 8 minutes, the temperature of the coffee is 52.5°F. What will its temperature be 13 minutes after it is placed in the freezer? Round your answer to the nearest degree.

A. 32°F | ||

B. 29°F | ||

C. 35°F | ||

D. 27°F |

## Question 16 of 20 |
0.0/ 5.0 Points |

Use the compound interest formulas A = P nt and A = Pe^{rt}to solve. Suppose that you have $11,000 to invest. Which investment yields the greater return over 10 years: 6.25% compounded continuously or 6.3% compounded semiannually?

A. Both investment plans yield the same return. | ||

B. $11,000 invested at 6.3% compounded semiannually over 10 years yields the greater return. | ||

C. $11,000 invested at 6.25% compounded continuously over 10 years yields the greater return. |

## Question 17 of 20 |
0.0/ 5.0 Points |

The pH of a solution ranges from 0 to 14. An acid has a pH less than 7. Pure water is neutral and has a pH of 7. The pH of a solution is given by pH = -logx where x represents the concentration of the hydrogen ions in the solution in moles per liter. Find the pH if the hydrogen ion concentration is 1 x 10^{-1}

A. 13 | ||

B. 1 | ||

C. -13 | ||

D. -1 |

## Question 18 of 20 |
0.0/ 5.0 Points |

A fossilized leaf contains 15% of its normal amount of carbon 14. How old is the fossil (to the nearest year)? Use 5600 years as the half-life of carbon 14. Solve the problem.

A. 35,828 | ||

B. 15,299 | ||

C. 1311 | ||

D. 21,839 |

## Question 19 of 20 |
0.0/ 5.0 Points |

Use the graph of log_{5}x to obtain the graph of f(x) = 2 + log_{5}x.

## Question 20 of 20 |
5.0/ 5.0 Points |

Graph the functions in the same rectangular coordinate system.

f(x) = x and g(x) = log1/4 x

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