Question

Which expressions are equivalent to 2 ln a + 2 ln b - ln a?

Answer 1

Answer:

Choices 2, 3, and 5  are correct.

Step-by-step explanation:

Complete question is:

Check all that apply.

1. ln ab² - ln a

2. ln a + 2 ln b  

3. ln a² + ln b² - ln a

4. 2 ln ab

5. ln ab²

ANSWER:

The given expression is : 2 ln a + 2 ln b - ln a

It simplifies to: ln a + ln b² = ln ab²

Checking the given options.

1. ln ab² - ln a   = ln (ab²)/a = ln b²

  FALSE

2. ln a + 2 ln b = ln ab²

  TRUE

3. ln a² + ln b² - ln a = ln (a²b²)/a = ln ab²

  TRUE

4. 2 ln ab = ln a²b²

  FALSE

5. ln ab²

  TRUE