Question

What is 3 In3-In9 expressed as a single natural logarithim

Answer 1

$3 \ln 3 - \ln 9 = 3 \ln 3 - \ln 3 ^2 = 3 \ln 3 - 2 \ln 3 = \ln 3$

Answer: $\ln 3$

Answer 2

Answer:

ln 3

Step-by-step explanation:

Using the rules of logarithms

• log $x^{n}$ ⇔ n logx

• log x - log y = log ($\frac{x}{y}$ )

Given

3 ln3 - ln9, then

= ln 3³ - ln 9

= ln 27 - ln 9

= ln ($\frac{27}{9}$ ) = ln 3