Question

Assume that x and y are positive numbers. Simplify by writing as one logarithm.

(1/5)log(x^5) - (3/4)log(y^4) + 2log(radical xy)

please explain

Answer 1

\[\frac{ 1 }{ 5 } \log (x ^{5}) - \frac{ 3 }{ 4 } \log (y ^{4}) + 2 \log ( \sqrt{xy})\]

Answer 2

Can someone help me?

Answer 3

@Loser66 can you help me with this question?

Answer 4

\(alog b = log b^a\) do you know that?

Answer 5

yes i did know that

Answer 6

so, apply to the first term \(\dfrac{1}{5}log x^5\) what do you get?

Answer 7

\[\log (x ^{5})^{\frac{ 1 }{ 5 }}\]

Answer 8

right?

Answer 9

yes, and simplify more, please