SOLUTION: express the following as a single logarithm: 1/4loga(x) – 3loga(y) – 2loga(z) Note: the a's are subscripts I am homeschooling my 9th grade son; this problem is on a test,

Algebra.Com
Question 135059: express the following as a single logarithm:
1/4loga(x) – 3loga(y) – 2loga(z)
Note: the a's are subscripts
I am homeschooling my 9th grade son; this problem is on a test, and we are questioning the solution given.
Thanks, Beth.

Found 2 solutions by solver91311, vleith:
Answer by solver91311(24713)   (Show Source): You can put this solution on YOUR website!
You need two logarithm rules and one exponent rule to do this one:

Exponent rule:

Log rule 1:

Log rule 2:





or depending on your book's notation convention.

Answer by vleith(2983)   (Show Source): You can put this solution on YOUR website!
Beth, i don' claim to be a guru at logs, but here is what I get. Compare that to your book and please let me know what it says .





Does that agree with your book?

RELATED QUESTIONS

express as a single log: 1/2loga x + 4loga y -1/3loga... (answered by solver91311)
Can I please ask for help as I need to write 2loga x+1/3loga y-loga z as a single... (answered by erica65404)
How do I express this as a single logarithm?... (answered by nerdybill)
Please help me write this expression as a single logarithm: 3loga(2x^3) -... (answered by stanbon)
Express as a single logarithm, and, if possible, simplify. 1/4loga x+8loga y-2loga x (answered by Fombitz)
How do I write the following expression as a single logarithm? {{{3loga-logb-1/2logc}}} (answered by KMST)
express a single logarithm.... (answered by solver91311,nerdybill)
Express as a single logarithm, and, if possible, simplify. 1/4 loga x+8 loga y-2loga... (answered by stanbon)
express as single logarithm: 1/2loga x -5loga... (answered by CharlesG2)