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12/12/2022-HW Natural Logs & Pert

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Last updated over 2 years ago
25 questions
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Question 1
1.

Write each equation in logarithmic form.

Question 2
2.

Write each equation in logarithmic form.

Question 3
3.

Write each equation in exponential form.

Question 4
4.

Write each equation in exponential form.

Question 5
5.

Condense into a single expression.

Question 6
6.

Condense into a single expression.

Question 7
7.

Expand each logarithmic expression

Question 8
8.

Expand each logarithmic expression

Question 9
9.

Solve the equation. Be sure to check for extraneous solutions.
express your answer with x= and include a comma in between the solutions if necessary

Question 10
10.

Solve the equation. Condense to get each 'ln' alone if necessary. Be sure to check for extraneous solutions.
express your answer with x= and include a comma in between the solutions if necessary

Question 11
11.

Solve the equation. Isolate the exponential. Be sure to check for extraneous solutions.
give your answer rounded to 4 places beyond the decmial.

Question 12
12.

Solve the equation. Isolate the exponential. Be sure to check for extraneous solutions.
give your answer rounded to 4 places beyond the decmial.

Question 13
13.

Solve the equation. Isolate the exponential. Be sure to check for extraneous solutions.
give your answer rounded to 4 places beyond the decmial.

Formula for continuous decay or growth:

Question 14
14.

In 7 days, a sample of a radioactive substance continuously decreases from the initial value of 200 grams to 40 grams.

Write a function to describe the continous decay where the rate is unknown (your function will include the variable 'r' as in the example in class)

Question 15
15.

In 7 days, a sample of a radioactive substance continuously decreases from the initial value of 200 grams to 40 grams.

Calculate the rate of decay. Round your answer to the nearest hundreths place.

Question 16
16.

Joe invests $2500 in an account with a rate of 6.5% that is compounded continuously.
How many years will it take for his investment to double (to reach $5000)?

Set up a function using the Pert formula...solve for t. Be sure to convert the rate to a decimal first.

Round your answer to the nearest tenths place.

Question 17
17.

Joe invests $2500 in an account with a rate of 6.5% that is compounded continuously.
What will his investment in 21 years?

Using the function above and the given values of P, r and t, solve for A. Be sure to convert the rate to a decimal first.

Round your answer to the nearest hundreths place. (answer using dollars and cents)

Question 18
18.

What type of graph is shown?--think about what type of asymptote will occur here..vertical or horizontal?

Question 19
19.

What type of graph is shown?--think about what type of asymptote will occur here..vertical or horizontal?

Question 20
20.


What type of graph is shown?

Question 21
21.


What type of graph is shown?

Question 22
22.

upload your pages of work here--page 1

Question 23
23.

upload your pages of work here--page 2

Question 24
24.

upload your pages of work here--page 3

Question 25
25.

upload your pages of work here--page 4