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Question
Will you show or help me to re-write the expression ln((x+3)/xy) as a sum, difference,and/or multiple of logarithms.
You can take a quotient of logs such as log(a/b) and write it as a difference of logs, like log a - log b. You can take a product of logs like log xy and write it as a sum f logs log x + log y so ln((x+3)/xy) = ln(x+3) -ln(xy) = ln(x+3) -[lnx + lny] = ln (x+3) -lnx-lny
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Sherry Wallin
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I can answer most questions up through Calculus and some in Number Theory and Abstract Algebra.
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I have had my Bachelor's Degree since 1987 and have been a teacher since 1988. I earned my Masters Degree in Mathematics May 2010. I have been teaching at the same community college since 2002.
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I have taught 12 years at the community college level, medical college, and technical college as well as a high school instructor and alternative education instructor and charter school instructor.
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