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

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

The given expression is
2 ln a + 2 ln b - ln a
It simplifies to
ln a + ln b² = ln ab²

Let us check the given answers.
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

Choices 2, 3, and 5  are correct.