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

User Sitesbyjoe
by
7.7k 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
7.7k 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
8.2k points

Related questions

asked Jun 20, 2019 104k views
Syuzanna asked Jun 20, 2019
by Syuzanna
8.2k points
1 answer
2 votes
104k views
asked Mar 12, 2019 191k views
Petr Gazarov asked Mar 12, 2019
by Petr Gazarov
8.3k points
1 answer
1 vote
191k views
asked Aug 17, 2019 144k views
Eapo asked Aug 17, 2019
by Eapo
8.5k points
2 answers
4 votes
144k views