12/12/2022-HW Natural Logs & Pert

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Write each equation in logarithmic form.

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Write each equation in logarithmic form.

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Write each equation in exponential form.

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Write each equation in exponential form.

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Condense into a single expression.

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Condense into a single expression.

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Expand each logarithmic expression

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Expand each logarithmic expression

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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

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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

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

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1

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

Required

1

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:

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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)

Required

1

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.

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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.

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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)

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

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

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What type of graph is shown?

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What type of graph is shown?

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upload your pages of work here--page 1

1

upload your pages of work here--page 2

1

upload your pages of work here--page 3

1

12/12/2022-HW Natural Logs & Pert

Write each equation in logarithmic form.

Write each equation in logarithmic form.

Write each equation in exponential form.

Write each equation in exponential form.

Condense into a single expression.

Condense into a single expression.

Expand each logarithmic expression

Expand each logarithmic expression

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

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

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

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

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:

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)

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.

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

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

What type of graph is shown?

What type of graph is shown?

upload your pages of work here--page 1

upload your pages of work here--page 2

upload your pages of work here--page 3

upload your pages of work here--page 4

Write each equation in logarithmic form.

Write each equation in logarithmic form.

Write each equation in exponential form.

Write each equation in exponential form.

Condense into a single expression.

Condense into a single expression.

Expand each logarithmic expression

Expand each logarithmic expression

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

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

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

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

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:

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)

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.

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

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

What type of graph is shown?

What type of graph is shown?

upload your pages of work here--page 1

upload your pages of work here--page 2

upload your pages of work here--page 3

upload your pages of work here--page 4

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

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

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

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

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

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)

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.

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

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

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

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

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

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)

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.