SOLUTION: Express as a single logarithm a. 2(ln9+lny) + 4lnx - 3lny b. 2lny -4(lnx + 2lny) + 2ln7 - lny

Algebra ->  Logarithm Solvers, Trainers and Word Problems -> SOLUTION: Express as a single logarithm a. 2(ln9+lny) + 4lnx - 3lny b. 2lny -4(lnx + 2lny) + 2ln7 - lny      Log On


   

Question 714424: Express as a single logarithm
a. 2(ln9+lny) + 4lnx - 3lny
b. 2lny -4(lnx + 2lny) + 2ln7 - lny
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
Express as a single logarithm
a. 2(ln9+lny) + 4lnx - 3lny
----
= 2ln(9y) + ln(x^4) - ln(y^3)
-----
= ln(81y^2 + ln(x^4 - ln(y^3
----
= ln[81x^4y^2/y^3]
---
= ln(81x^4/y]
==========================
b. 2lny -4(lnx + 2lny) + 2ln7 - lny
---
ln(y^2) - 4ln(xy^2) + ln(49) - ln(y)
----
= ln(y^2) - ln(x^4y^8) + ln(49) - ln(y)
-------
= ln[49y^2/x^4y^9]
-------
= ln[49/(x^4y^7)]
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Cheers,
Stan H.
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