Solving Logarithmic Equations using Technology

Question 1

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

Revolt · Accepted Answer

2.45

Question 2

x ≈ [___] and x ≈ [___].

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0.2

Question 3

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

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cannot be determined

Question 4

Question 6

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-2.1; 0.2

Question 5

x ≈ [___] and x ≈ [___].

Revolt · Accepted Answer

Part 1: -2.1; Part 2: 0.2; -2.1

Question 6

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

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3.2

Question 7

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

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2

Question 8

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

Revolt · Accepted 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.

Solving Logarithmic Equations using Technology Answers

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