How do you condense $3 ln 6 + 3 ln x$ $3 ln 6 + 3 lnx$ ?

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Answer 1 · 2016-04-04T03:21:10

$3 ln (6) + 3 ln (x) = ln (216 x^{3})$ $3ln(6)+3ln(x) =ln(216x^3)$

We will use the following properties:

With those, we have

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

$= 3 ln (6 x)$ $=3ln(6x)$

$= ln ({(6 x)}^{3})$ $=ln((6x)^3)$

$= ln (216 x^{3})$ $=ln(216x^3)$

How do you condense 3ln6+3lnx3 ln 6 + 3 lnx?