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Fall 2010 Test 4: Logarithmic and Exponential Equations - Prof. James K. Gibson, Exams of Algebra

The results of a student's performance on a fall 2010 test focused on logarithmic and exponential equations. The student's name, access code, score, and specific questions with their respective answers and status. The test covers various problems related to logarithmic and exponential equations, such as solving equations, evaluating expressions, and using properties of logarithms.

Typology: Exams

2009/2010

Uploaded on 12/09/2010

ginagina09
ginagina09 🇺🇸

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Title : All Questions
Student's Name : CARTHAN, GINA
Access Code : YCBN9AMBN8J7F79BXMGNRTMHPXJC4D
Score : 90/100 (90%)
Test Name : 2010 Fall Test 4
1. Melanie invests $7700 in a new savings account which earns 5.7% annual interest, compounded continuously. What will be
the value of her investment after 4 years? Round to the nearest cent.
Step Status: The response is correct.
Points Scored: The score is 7 of 7 point(s).
2. Solve the following logarithmic equation. If there is no solution, state "No Solution". ( Round your answer to 4 decimal
places).
If there is more than one solution, separate your answers with a comma.
Step Status: The response is correct.
Points Scored: The score is 8 of 8 point(s).
3. The function models the rise in the cost of a product that has a cost of today, subject to an average yearly inflation rate of
for years. If the average annual rate of inflation over the next 9 years is assumed to be 2.5%, what will the inflation-adjusted
cost of a $221,700 house be in 9 years? Round to two decimal places.
Step Status: The response is correct.
Points Scored: The score is 7 of 7 point(s).
4. Evaluate the following logarithmic expression. Round off your answer to two decimal places.
Step Status: The response is correct.
Points Scored: The score is 7 of 7 point(s).
Answer: $
Answer:  No Solution (Ø)No No Solution (Ø)Solution No Solution (Ø)(Ø)x = } OR {
Answer: $
Answer:
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Title : All Questions Student's Name : CARTHAN, GINA Access Code : YCBN9AMBN8J7F79BXMGNRTMHPXJC4D Score : 90/100 (90%) Test Name : 2010 Fall Test 4

1. Melanie invests $7700 in a new savings account which earns 5.7% annual interest, compounded continuously. What will be the value of her investment after 4 years? Round to the nearest cent. Step Status: The response is correct. Points Scored: The score is 7 of 7 point(s). 2. Solve the following logarithmic equation. If there is no solution, state "No Solution". ( Round your answer to 4 decimal places). If there is more than one solution, separate your answers with a comma. Step Status: The response is correct. Points Scored: The score is 8 of 8 point(s). 3. The function models the rise in the cost of a product that has a cost of today, subject to an average yearly inflation rate of for years. If the average annual rate of inflation over the next 9 years is assumed to be 2.5%, what will the inflation-adjusted cost of a $221,700 house be in 9 years? Round to two decimal places. Step Status: The response is correct. Points Scored: The score is 7 of 7 point(s). 4. Evaluate the following logarithmic expression. Round off your answer to two decimal places. Step Status: The response is correct. Answer: $ Answer: x = { } OR  No Solution (Ø) Answer: $ Answer:

5. Use the properties of logarithms to expand the following expression as much as possible. Simplify any numerical expressions that can be evaluated without a calculator. Step Status: The response is correct. Points Scored: The score is 7 of 7 point(s). 6. Solve the following elementary exponential equation. Step Status: The response is correct. Points Scored: The score is 7 of 7 point(s). 7. Solve the following elementary exponential equation. Step Status: The response is incorrect. Points Scored: The score is 2 of 7 point(s). Correct Answer: 8. Solve the following logarithmic equation. If there is no solution, state "No Solution". ( Round your answer to 4 decimal places). If there is more than one solution, separate your answers with a comma. Step Status: The response is correct. Answer: Answer: x = Answer: x = Answer: x = { } OR  No Solution (Ø)

13. Use the properties of logarithms to condense the following expression as much as possible, writing the answer as a single term with a coefficient of 1. All exponents should be positive. Step Status: The response is correct. Points Scored: The score is 7 of 7 point(s). 14. Use the elementary properties of logarithms to solve the following equation. Write your answer as a fraction reduced to lowest terms. Step Status: The response is correct. Answer: Answer: x =