SOLUTION: Contract the expressions. That is, use the properties of logarithms to write each expression as a single logarithm with a coefficient of 1. ln 3 − 2 ln 7 + ln 14

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Contract the expressions. That is, use the properties of logarithms to write each expression as a single logarithm with a coefficient of 1. ln 3 − 2 ln 7 + ln 14       Log On


   

Question 710169: Contract the expressions. That is, use the properties of logarithms to write each expression as a single logarithm with a coefficient of 1.

ln 3 − 2 ln 7 + ln 14

ln 3 − 2 ln(6 + 6)
ln 3 − 2(ln 4 + ln 8)
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
write each expression as a single logarithm with a coefficient of 1.
ln 3 − 2 ln 7 + ln 14
---
= ln[3*14/7^2]
---
= ln[6/7]
=====================
ln 3 − 2 ln(6 + 6)
-----
= ln[3/12^2]
---
= ln[1/48]
====================

ln 3 − 2(ln 4 + ln 8)
---
ln(3)- 2ln(4)- 2ln(8)
===
ln(3)-ln*16 - ln(64)
-----
= ln[3/(16*64)]
---
ln[3/1024]
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Cheers,
Stan H.
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