12/12/2022-HW Natural Logs & Pert

Last updated over 2 years ago
25 questions
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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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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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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)

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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.

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

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upload your pages of work here--page 2

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upload your pages of work here--page 3

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upload your pages of work here--page 4