AnswersFL-1200330-Algebra 2 Sem 2 - FlexSolving Logarithmic Equations using Technology

Solving Logarithmic Equations using Technology Answers

13 verified answers
1
Free Preview

–2.8760–0.34770.71241.3738

A
–2.8760
B
–0.3477
C
0.7124
D
1.3738
2
Free Preview

2.3219–0.4307–2.32190.4307

A
2.3219
B
–0.4307
C
–2.3219
D
0.4307
3

The expression is the result of applying the change of base formula to a logarithmic expression. Which could be the original expression?

Question illustration
A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
4

Use the change of base formula to approximate the solution to log0.515 = 1 – 2x. Round to the nearest hundredth.

Question illustration
Answer:

2.45

5

Which graph shows the solution to the equation log2(3x – 1) = 2?

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
6

Graph a system of equations to approximate the value of x, the rate of depreciation. Give your answer as a percent.

A
about 4%
B
about 13%
C
about 1.2%
D
cannot be determined
7

What are the approximate solutions of the equation? Check all that apply.

A
Option
Option A
B
Option
Option B
C
Option
Option C
D
Option
Option D
8

Question text not available

Answers:
Blank 1:-2.1
Blank 2:0.2
9

Question text not available

Answer:

0.2

10

Solve log2x = log53 + 1 by graphing. Round to the nearest tenth.

Question illustration
Answer:

3.2

11

Solve log2(x – 1) = log12(x – 1) by graphing.x =

Answer:

2

12

Elsa tries to solve the following equation, and determines there is no solution. Is she correct? Explain. log2x = log2(3x + 5) + 4

Answer:

Using the change-of-base formula, graph y = ln(x)/ln(2) and y = ln(3x + 5)/ln(2) + 4. The graphs do not intersect. Algebraically, the equation gives x = -80/47, which is outside the domain x > 0. Therefore, the equation has no solution, and Elsa is correct.

13

Did you include the following in your solution?

A
Identify the system of equations that can be graphed to solve the problem.
B
Use the change of base formula.
C
Determine that the graphs of the two equations do not intersect.
D
Determine that Elsa is correct; the equation has no solution.

Did you find these answers helpful?

More from this Course

Assignment
25 verified answers

Graphing Exponential Functions

Assignment
24 verified answers

Assignment

Assignment
20 verified answers

Graphing Exponential Functions

Solving Logarithmic Equations using Technology…