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For the following exercises, expand each logarithm as much as possible. Rewrite each expression as a sum, difference, or product of logs.$$\ln (3 a b \cdot 5 c)$$
$\ln (3 a b)+\ln (5 c)=\ln 3+\ln a+\ln b+\ln 5+\ln c$
Algebra
Chapter 6
Exponential and Logarithmic Functions
Section 5
Logarithmic Properties
Functions
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Campbell University
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So this question we have a natural log of three a. B in times five seem whereas toe basically put this in the most expanded form that we can using in this case will use Osama box The reason we use a sum of boxes because we're multiplying all the terms inside here. So this is gonna be the same as Ellen. Three. Ate pasta Alla and a plus Allenby plus Ellen five plus Ellen seeing. Basically, the reason we got this is because all these things were being multiplied inside the natural lot. We'll meet when we write these separate terms being added together. We use addition because of the properties of water.
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