I have a problem about condensing logarithmic expressions with logs AND lns. Is this possible?

ln 5 + 3 ln 3 - log 4

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- Jan 13th 2008, 12:47 PMhappydino1Combining log and ln?
I have a problem about condensing logarithmic expressions with logs AND lns. Is this possible?

ln 5 + 3 ln 3 - log 4 - Jan 13th 2008, 12:52 PMWWTL@WHL
What base are you working in?

- Jan 13th 2008, 12:54 PMhappydino1
That's exactly how the problem appears. I guess just the assumed bases of e and 10.

- Jan 13th 2008, 01:02 PMWWTL@WHL
well $\displaystyle log_{e} x = lnx. $ In that case...

ln5 + 3ln3 - log4 = ln5 + ln3^3 - ln4

= ln5 + ln9 - ln4 = ln45 -ln4 = $\displaystyle ln \frac{45}{4} $

Hopefully someone will correct me if I'm wrong. - Jan 13th 2008, 01:05 PMcolby2152
- Jan 13th 2008, 01:06 PMcolby2152
- Jan 13th 2008, 01:13 PMWWTL@WHL
- Jan 13th 2008, 01:53 PMKrizalid