3 years ago

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

Mathematics

2 answers:

Alexandra [31]3 years ago

7 0

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

Answer: $\ln 3$

Tanzania [10]3 years ago

6 0

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

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