Question

How do you condense `3 ln 6 + 3 lnx`?

Answer 1

`3ln(6)+3ln(x) =ln(216x^3)`

Explanation:

We will use the following properties:

• `ln(a)+ln(b) = ln(ab)`
• `xln(a) = ln(x^a)`

With those, we have

`3ln(6)+3ln(x) = 3(ln(6)+ln(x))`

`=3ln(6x)`

`=ln((6x)^3)`

`=ln(216x^3)`