Solving Equations using Properties of Logarithms

Question 1

Which statement is true about the potential solution x = –5?

Revolt · Accepted Answer

This number is a true solution of the original equation.

Question 2

Which equation can you solve to find the potential solutions to the equation log2x + log2(x – 6) = 4?

Revolt · Accepted Answer

x2 – 6x – 16 = 0

Question 3

Question 24

Revolt · Accepted Answer

Insufficient information

Question 4

Which equation can you solve to find the potential solutions to the equation log2x + log2(x – 6) = 4?

Revolt · Accepted Answer

x2 – 6x – 16 = 0

Question 5

What is the solution to log7(x – 4) = log7(4x + 5) ?

Revolt · Accepted Answer

There is no solution.

Question 6

Which of the following did you include in your response?

Revolt · Accepted Answer

The bases of the logarithms are not the same.; The one-to-one property does not apply when the bases are not the same.; The change of base formula should have been used to write the logarithms with the same base.

Question 7

The solution to the equation log2x + log2(x – 6) = 4 is x = .

Revolt · Accepted Answer

8

Question 8

Both are extraneous solutions.Only 3 is an extraneous solution. Only –3 is an extraneous solution. Neither is an extraneous solution.

Revolt · Accepted Answer

Only –3 is an extraneous solution.

Question 9

The solution to the equation log2x + log2(x – 6) = 4 is x = .

Revolt · Accepted Answer

8

Solving Equations using Properties of Logarithms Answers

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