186k views
1 vote
What is 3 In3-In9 expressed as a single natural logarithim

User Sitesbyjoe
by
6.5k points

2 Answers

2 votes

Answer:

ln 3

Explanation:

Using the rules of logarithms

• log
x^(n) ⇔ n logx

• log x - log y = log (
(x)/(y) )

Given

3 ln3 - ln9, then

= ln 3³ - ln 9

= ln 27 - ln 9

= ln (
(27)/(9) ) = ln 3

User Deprecated
by
6.6k points
7 votes


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

Answer:
\ln 3

User Jon Gilkison
by
6.9k points
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