First, we'll impose the constraint of existence of
logarithms:
x>0
Now,
we'll use the power property of logarithms, so that:
3 ln x
= ln x^3
We'll re-write the
equation:
ln x^3 - ln 3 =
3
Since the bases of logarithms are matching, we'll use the
quotient rule:
ln (x^3/3) =
3
We'll have:
x^3/3 =
e^3
x^3 = 3e^3
x
= e*[(3)^1/3]
Since the
solution is positive, it is valid.
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