Question

A student solved log4(2x – 12) = 3, as shown.

Step 1: 2x – 12 = 34
Step 2: 2x – 12 = 81
Step 4: 2x = 93
Step 5: x = 46.5
Explain the error and find the correct solution.

Answer 1

The error is in Step 1. They translated from logarithmic to exponential form incorrectly.

The student should have used 4 as the base and 3 as the exponent. This would result in 64, not 81, on the right side of the equation.

The correct answer is x = 38.

Explanation:

Explanation:

Answer 2

The error is in Step 1. They translated from logarithmic to exponential form incorrectly.

The student should have used 4 as the base and 3 as the exponent. This would result in 64, not 81, on the right side of the equation.

The correct answer is x = 38.

Explanation: