Rewrite as a single log:

4lnx-2lny+1/3lnw

Are you sure? Shouldn't I do something with the ln button on the calculator?

4 log x - 2 log y + 1/3 log w

(4 log x + 1/3 log w) - 2 log y
(log x^4 + log w^1/3) - log y^2
log (x^4 w^1/3) - log y^2
log (x^4 w^1/3)/y^2

I am not a tutor

To rewrite the expression "4ln(x) - 2ln(y) + 1/3ln(w)" as a single logarithm, we can use the properties of logarithms.

First, let's combine the terms inside the logarithms with the same base:

ln(x^4) - ln(y^2) + ln(w^(1/3))

Next, we can apply the division rule of logarithms, which states that when subtracting logarithms with the same base, we can write it as the logarithm of their quotient:

ln((x^4 * w^(1/3)) / y^2)

Finally, we can simplify the expression further by using the power rule of logarithms:

ln((x^4w^(1/3)) / y^2)

Therefore, the expression "4ln(x) - 2ln(y) + 1/3ln(w)" can be rewritten as a single logarithm: ln((x^4w^(1/3)) / y^2).