SOLUTION: Write 3 ln a - 1/2(ln b + ln c2) as a single natural logarithm.

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Write 3 ln a - 1/2(ln b + ln c2) as a single natural logarithm.      Log On


   

Question 868356: Write 3 ln a - 1/2(ln b + ln c2) as a single natural logarithm.
Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
I'm going to be using log rules from the link below


http://www.purplemath.com/modules/logrules.htm


3%2Aln%28a%29+-+%281%2F2%29%2A%28ln%28b%29%2Bln%28c%5E2%29%29


3%2Aln%28a%29+-+%281%2F2%29%2Aln%28b%2Ac%5E2%29 Using rule 1


ln%28a%5E3%29+-+ln%28%28b%2Ac%5E2%29%5E%281%2F2%29%5E%22%22%29 Using rule 3


ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2A%28c%5E2%29%5E%281%2F2%29%5E%22%22%29


ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2Ac%5E%282%2A%281%2F2%29%29%5E%22%22%29


ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2Ac%5E%282%2F2%29%5E%22%22%29


ln%28a%5E3%29+-+ln%28%28b%29%5E%281%2F2%29%5E%22%22%2Ac%5E1%29


ln%28a%5E3%29+-+ln%28sqrt%28b%29%2Ac%29


ln%28a%5E3%29+-+ln%28c%2Asqrt%28b%29%29


ln%28%28a%5E3%29%2F%28c%2Asqrt%28b%29%29%29 Using rule 2