MATH1513 Test 3 - Absolute Value Eqns

MATH 1513 Test 3: 22. Absolute Value Eqns - 31. Exponential Eqns Part 2

Read the following instructions carefully before beginning this part of the test.

Instructions:

• This assignment is to be completed on your own.

• You have until F 04/23/21 at 11:59 PM to complete the following problems (along with Part 1 via Forms, linked in Blackboard → Tests).

• Complete on separate paper and scan (use OneDrive or Adobe Scan app, e.g.), then upload to corresponding Blackboard assignment (Tests) for submission.

• These assignment pages do not need to be included with your submission.

• You are expected to clearly label each problem and answer.

• To receive full credit you must show all work and simplify each answer as much as possible. Correct notation must be used and any explanations must be clear.

• All answers should be exact, no decimals.

• Cheating will not be tolerated. This includes, but is not limited to, the following:

– No talking with others about the test

– No sharing answers or copying the work of others

– The only aids you may have are resources/content provided by the instructor

The use of any other resources will be considered a violation of the ECU Academic Integrity Policy and you will automatically receive a 0 on the assessment. Such violations will also be reported to the University.

• Part 2 of Test 3 is worth 28 points, while Part 1 mentioned above is worth 22 points. Test 3 is worth a total of 50 points. Make sure you answer each question and complete both parts of the test.

By submitting this assignment, you agree that you have read, understand, and will follow all of the above instructions.

Remember to show all work and use correct notation to earn full credit.

1. (4 points) Solve the equation: |5x− 3| = 7

2. (4 points) Solve the inequality: |3x + 7| < 2

State your solution as an interval AND graph the solution on a horizontal number line.

3. Let f(x) = √ x + 5 and g(x) = 3 x . Find the following:

(a) (2 points) (f ?g)(x)

(b) (2 points) (g ?f)(x)

(c) (2 points) (f ?g)(3)

(d) (2 points) (g ?f)(4)

4. (4 points) Expand as much as possible to write as a sum and/or difference of logarithms without exponents: log 5 ( A3B2 CD4 )

5. Solve the following exponential equations for x. Your answers should be exact, no decimal approximations. As needed, leave answers in terms of logarithms.

(a) (4 points) 2x−1 = ( 14 )3x+

(b) (4 points) 3x = 42x−5