Question

Simplify: e^3ln(2x)+2ln(y^2)-4ln(2xy)

Answer 1

does it help to know that
\[e^{\ln(whatever)}=whatever\]?

Answer 2

Sort of, but what do you do with the numbers before the ln? Just multiply them by whatever?

Answer 3

2x^3-4ln(2x)

Answer 4

Am I correct to say that what you actually meant was the following:

\[e ^{3\ln(2x) + 2\ln(y^{2}) - 4\ln(2xy)}\]

Answer 5

Yes, that is what I meant.

Answer 6

(8x^3y^4) / (16x^4y^4) = 1/2x

Answer 7

then its 1/2x

Answer 8

Thank you both