Question 2

Solve the equation exactly forx: ex+5=7

Group of answer choices

x = ln(7/5)

x = ln(2)

x = ln(7) - 5

x = ln(7)/5

Question 3

You place $800 in an account that earns 3% annual interest, compounded monthly. You want to know how long it will be before your account contains $1200, so you solve the exponential equation

800(1+.0312)12t=1200

Which of these expressions is the exact solution to your exponential equation?

Group of answer choices

t = 1.5 / ln (12.03)

t = ln(1.5) / .03

t = ln(400) / (12 ln(1.0025))

t = ln(1.5) / (12 ln(1.0025))

Question 4

You place $800 in an account that earns 3% annual interest, compounded monthly. How long it will be before your account contains $1200?

Group of answer choices

13.51 years

13.53 years

13.61 years

13.72 years

Question 5

Prices climb at a constant 3% annual rate.

By what percent will prices have climbed after 5 years?

Group of answer choices

15%

15.9%

16.2%

5.15%

Prices climb at a constant 3% annual rate.

How long will it take for prices to climb 30%?

Group of answer choices

10 years

9.122 years

8.876 years

8.745 years

Question 7

Consider the functionf(x)=1ln(x2).

Which of these are true:

I. The domain off is all real numbers.

II. The graph off has a horizontal asymptote at y = 1.

III. The graph off has a vertical asymptote atx = 2.

Group of answer choices

I only

II only

III only

I, II, and III

Question 8

The logarithm of a sum is the sum of the logarithms.

Group of answer choices

True

False

Question 9

The logarithm of a quotient is the difference of the logarithms.

Group of answer choices

True

False

Question 10

For every positive real numbera,log(a)=ln(a).

Group of answer choices

True

False