Question

Given u = log(x) and v = log(y). Express log
(y^2/^3√x^4)
in terms of u and v.

Answer 1

@obafemich ;)

Answer 2

:D

Answer 3

Is it \(\LARGE log\frac{y^2}{\sqrt[4]{x^3}}\)?

Answer 4

switch the 4 and 3 in the denominator

Answer 5

Whoops. But all you have to do is use log rules.

Answer 6

that wouldn't be a problem however i am very bad at math

Answer 7

what exactly is being asked

Answer 8

\[\LARGE log\frac{y^2}{\sqrt[3]{x^4}}=log~y^2-log~x^{4/3}\]
And it just wants you to substitute

Answer 9

O_O woooooooooooooooooow im dumb

Answer 10

Naw, it does look scary tho xD
Now just apply the exponent rule for logs, sub in and you're done

Answer 11

@Luigi0210 so in terms of showing my answer do i just jot down the domain?

Answer 12

u = log (x) --> x = \(10^u\)--> \(x^{3/4}= 10^{3u/4}\)
v = log(y) --> y = \(10^v\)--> \(\large y^2= 10^{2v}\)
now take the quotient \(\large \dfrac{y^2}{x^{3/4}}=\dfrac{10^{2v}}{10^{3u/4}}=10^{2v-3u/4}\)
That is the process you express x, y in terms of u and v

Answer 13

and then take log both sides to get 2v -3u/4

Answer 14

@Loser66 yeai get that but what i dont get is how should i express my answer