Question

What is 3 ln 3 - ln 9 expressed as a single natural logarithm? ln 3 ln 6 ln 18 ln 27

Answer 1

in 3

Explanation:

first option

right on edge

Answer 2

`\ln(3)`

Explanation:

The given expresion is

`3 \ln(3) - \ln(9)`

Recall that:

`n \ln(a) = \ln( {a}^(n) )`

We apply this property to get:

`\ln( {3}^(3) ) - \ln(9)`

`\ln(27) - \ln(9)`

We apply the quotient rule to get

`\ln( (27)/(9) )`

`= \ln(3)`

The first choice us correct