Problem

For the following exercises, use the properties o…

02:57

Problem 16 Medium Difficulty

For the following exercises, use the properties of logarithms to expand each logarithm as much as possible. Rewrite each expression as a sum, difference, or product of logs.
$$
\ln \left(\frac{a^{-2}}{b^{-4} c^{5}}\right)
$$

Answer

$-2 \ln a+4 \ln b-5 \ln c$

Related Courses

Algebra

College Algebra

Chapter 6

Exponential and Logarithmic Functions

Section 5

Logarithmic Properties

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Video Transcript

So in this punch, did we have not for long of eight of the negative second over beating the negative fourth seat of the fifth. So basically, we're gonna be rewriting. This is not trouble aggravated than the second. And now, instead of writing like the over one of the other terms were instead, what we're gonna do is we're going to have chopped them because basically, when you do thigh inside this bomber them that's the same Mr Trump day, another longer, them without saying about you. So we're gonna be subtracting island, beat a negative forth, and we're gonna be subtracting natural long of seat of the fifth. But before we are, say that says our final answer, we're gonna take these exponents and we're gonna make the multipliers of the law algorithm because basically, if you have this term here, if it's to an expert in this experiment, can become like a coefficient or multiply so we can make this negative to l a minus, and this would be minus negative for so we could just call this plus four B and then this would meet minus Alan. So this would be minus five out. Let's see. And this, we can say, is our final

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