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April 18, 2014

April 18, 2014

Posted by **Deb** on Wednesday, April 17, 2013 at 8:57am.

log 3√x + log x^4 - log x^3

4 log (x+3) - 5 log (x^2+4) + 1/3 log y

I have these who problems but I don't know where to start. HELP Please.

- college algebra -
**Reiny**, Wednesday, April 17, 2013 at 9:12amYou are going to use 3 man rules of logs

1. log(A/B) = logA - logB

2. Log(AB) = logA + logB

3. log A^n = nlogA

log 3√x + log x^4 - log x^3

= log 3 + log x^(1/2) + 4logx - 3logx

= log3 + (1/2)logs + logx

= log3 + (3/2)logx

2.

4 log (x+3) - 5 log (x^2+4) + 1/3 log y

= log (x+3)^4 - log (x^2+4)^5 + log y^(1/3)

= log [ y^(1/3) (x+3)^4 /(x^2+4)^5 ]

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