Question 1

Solve for x: $3^{x+4} = 109$

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Question 2

Solve for x: $\log_2 (x + 2) - \log_2 (x - 5) = 3$ .

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Question 3

Use the formula $A = P(1+\frac{r}n)^{nt}$ to find how long it takes a $1500 investment to earn $300 interest if it is invested at 7.25% interest compounded monthly.

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Question 4

A herd of grazing animals has a current population of 800. The size of the herd is growing at a rate of 8% per year. At this rate, find the herd's population in 15 years. Round your answer to the nearest whole
number.

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Question 5

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Question 6

Find the equation of the inverse for the one-to-one function $f(x) = \frac{x-3}8$

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Question 7

Determine if the function graphed is a one-to-one function.

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Question 8

Given the one-to-one function $f(x) = (x-2)^3$, find f(-2) and fS1U1P1-1S1S1P0(-64)

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Question 9

Graph the exponential function $y = -3^x - 4$.

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Question 10

Write $\log_3x - 3\log_3(y-1) + 4\log_3z$ as a logarithm of a single expression.

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Question 11

Wrtie $\ln\frac{a^2b}{\sqrt{c}}$ as a sum or difference of logarithms.

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Question 12

Write $\log_y15 = 3$ as an exponential equation.

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Question 13

Graph the logarithmic function $f (x) = \log_4 (x + 2)$.

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Question 14

Solve each equation. Give an exact solution and a threedecimal-place approximation.
-5S1U1P14 x+9S1S1P0 = 25S1U1P1xS1S1P0

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