Let u= ln x and v=ln y. write ln(x^3y^2) in terms of u and v.

a. 3u + 2v

To solve this problem, we need to apply some properties of logarithms. Properties are useful to simplify complicated expressions. Here we need to use a very useful property of logarithms called  the logarithm of a product is the sum of the logarithms, that is:

From the function, it is then true that:

The other property we must use is Logarithm of a Power:

Then:

Since:

Then:

Finally, the correct option is:

a. 3u + 2v

a function could be identified in 3 ways either on a chart,graph, or ordered pairs. first a function is that each point has its own. the rule is that there can be many x's to one y but there can not be 2 x's at different y's. so on a graph when you put a straight line through the y's there should be one dot only to be a function.

step-by-step explanation:

∠cbe and ∠deb are same-side interior angles.

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