SOLUTION: Simplify using at most a single logarithm: logA^(3)-logB^(2/3)+logA^(1/3)+logB^(5/3)

Question 335748: Simplify using at most a single logarithm:
logA^(3)-logB^(2/3)+logA^(1/3)+logB^(5/3)
Answer by Theo(13342) (Show Source): You can put this solution on YOUR website!
I believe this means:

If so, then this is the same as:

You can simplify this expression to be equal to:

You can confirm this to be true by plugging any values for a and b and seeing if both equations provide you with the same answer.

For example, letting a = 1 and b = 2 yields the following:

= which equals which equals .301029996

and the following:

which equals which equals which equals which equals .301029996

Since you get the same answer with both equations, then the simplification is confirmed as good.

You used the following concepts to solve this.

log(x) + log(y) = log(x*y)

log(x) - log(y) = log(x/y)

In particular:

=

Also in particular:

=

Some more concepts:

In particular:

Also in particular:

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