40.3k views
1 vote
How do you make 3ln2+2ln4 a single logarithm?

User Alix
by
8.3k points

2 Answers

1 vote
3ln 2 = ln 2³ = ln 8
2ln 4 = ln 4² = ln 16
Sum means it is a product:
ln (8 × 16) = ln 128

Or ln (2³×4²)

User Jakehurst
by
8.3k points
6 votes
You can do on this way
3ln2 + 2ln4 = ln 2^3 + ln 4^2 = ln 8 + ln 16 = ln 128
User Ed Prince
by
8.4k points

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