Question

What is 2logx−logy−2logz

written as a single logarithm?

please help fast

Answer 1

To write the expression
`2log(x) - log(y) - 2log(z)` as a single logarithm, we can combine the terms using logarithmic properties. The expression can be simplified to
`log((x^2)/(y*z^2)).`

Step-by-step explanation:

To write the expression
`2log(x) - log(y) - 2log(z)` as a single logarithm, we can use the properties of logarithms to combine the terms.

First, applying the property of division, log(x/y) can be written as
`log(x) - log(y).`

Next, applying the property of multiplication, log(a*b) can be written as log(a) + log(b).

Finally, combining all the terms, we have:

`2log(x) - log(y) - 2log(z)`

`= log(x^2) - log(y) - log(z^2)`

`= log((x^2)/(y*z^2))`

Answer 2

log(x^2/(y z^2)) assuming x, y and z are positive