Question 1

A certain medication decays in the bloodstream according to the function $$D(h) = 5e$$^{-0.4h}$$, where D$ is the milligrams of drug present h$ hours after administration. How many milligrams will remain after 7 hours? (Round to two decimals.)

Accepted Answer

$$0.95 mg$$

Question 2

If $$4^{-x}$$ = \frac{1}{6}$$, what does 16^x$ equal?

Accepted Answer

$$36$$

Question 3

Which of the following functions matches the graph shown below?

[First image in your set]

Accepted Answer

$$f(x) = 4^x$$

Question 4

Solve for $$x$$: $$3^{1 + 2x} = 27$

Accepted Answer

$$\{1\}$$

Question 5

What is the domain of the function $$f(x) = \log(x + 9)$$?

Accepted Answer

$$(-9, \infty)$$

Question 6

Change the exponential equation $$3^{-3}$$ = \frac{1}{27}$$ to an equivalent logarithmic equation.

Accepted Answer

$$\log_3$ \frac{1}{27} = -3$$

Question 7

Find the amount in a savings account at the end of 9 years if $$9000 is deposited at 7% interest compounded semiannually. Use A = P$$ \left(1 + \frac{r}{n}\$$right)^{nt}$.

Accepted Answer

$$12,266.08$$

Question 8

Hector borrows $$2500 at 9% interest compounded quarterly. How much does he owe after 3 years? Use A = P$$ \left(1 + \frac{r}{n}\$$right)^{nt}$.

Accepted Answer

$$3265.12$$

Question 9

Solve for $$x$$: $$4^{-x}$$ = \frac{1}{16}$$

Accepted Answer

$$\{2\}$$

Question 10

Find the exact value: $$\log_5$ 125$$

Accepted Answer

$$3$$

Question 11

Change the logarithmic equation $$\ln \frac{1}{e^4$} = -4 to an $$equivalent exponential equation.

Accepted Answer

$$e^{-4}$$ = \frac{1}{$$e^4$$}$$

Question 12

Find the domain of the function $$f(x) = \ln \left(\frac{1}{x} - 9\right).$$

Accepted Answer

$$(0, \frac{1}{9})$$

Question 13

Solve for $$x$$: $$\log_5$(x^2 - 4x) = 1$

Accepted Answer

$$\{5\}$$

Question 14

Which of the following is equivalent to $$10^x = 1000$$?

Accepted Answer

$$\log_{10} 1000 = x$$

Question 15

Find the exact value: $$\log_{10} 10,000$$

Accepted Answer

$$4$$

Question 16

Solve for $$x$$: $$125^{3x - 2}$$ = $$25^{5x}$$

Accepted Answer

$$\frac{1}{6}$$

Question 17

Solve for $$x$$: $$e^{(x)x}$$ \cdot $$e^{24}$$ = $$e^{11x}$$

Accepted Answer

$$\{3\}$$

Question 18

Solve for $$x$$: $$\ln(x + 2) = 2$$

Accepted Answer

$$e^2 - 2$

Question 19

Which of the following graphs represents the function $$f(x) = -1 + e^x$$?

Accepted Answer

Third image in your set

Question 20

Which of the following graphs represents the function $$f(x) = 5 - e$$^{-x}$$?

Accepted Answer

Tenth image in your set

Graphing the Exponential Function $f(x) = -1 + e^x$

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