# MA 105 WEEK 7

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

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

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

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 |

*No answers yet*