Thread: Logarithm simplification

I am having trouble solving this log.

Simply:


25^ log5(xy) + log ( xg * (root)y over (root) x)

My simplification is:

(xy)^2 + log (x^3/4 y^1/2 g /1)

Do you mean

A:

B:

C: Something entirely different

Part B: but the x in the second log is also square rooted (in the denominator)

so how would this be simplified?
I can simplify the first part, but am having trouble with the second.

so how would this be simplified?
I can simplify the first part, but am having trouble with the second.

So, you need to simplify:



Your answer is correct.

You may want to split up the logarithm to the sum of logarithms, depending upon what's meant by 'simplify'.

Yes
so would the second portion be:
log(xg) + log(y^1/2) - log(x^1/4)
log(x)+log(g)+log(y^1/2)-log(x^1/4)

Originally Posted by FallenStar117

Yes
so would the second portion be:
log(xg) + log(y^1/2) - log(x^1/4)
log(x)+log(g)+log(y^1/2)-log(x^1/4)

You could also take the "1/2" and "1/4" out of the logarithms.