Question

Express ln√ab/c^3 as a sums and difference of logarithms.

Answer 1

\[ \ln\sqrt{\frac{ab}{c^3}} =\ln\frac{\sqrt{a}\sqrt{b}}{\sqrt{c^3}}\]
Does it help?

Answer 2

i just needed help not the answer :(

Answer 3

I just showed you one step not the whole solution.

Answer 4

I'm trying to understand how to solve these problems.

Answer 5

Ok. In theese problem it is important to know that logarithm of a product is sum of logaritms.
\[ \ln(xy) = \ln x + \ln y\]

Answer 6

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Answer 7

You can write \( \sqrt{abc} \) as \(\sqrt{a}\sqrt{b}\sqrt{c}\). Then you have a product of three terms.

Answer 8

ok but isnt taht the same thing as abc square rooted?

Answer 9

Yes, it is. Now you can express the log of a product as a sum of logs.

Answer 10

Remember \[\ln(xy) = \ln x + \ln y\]
\[ \ln{\left(\frac{x}{y}\right)} = \ln x - \ln y\]
\[ \ln x^a = a \ln x \]
These three formulas are what you have to know to solve this kind of problem.