Question

ln (n² + 12) = ln (-9n - 2)

Logarithms
ANSWERED
asked 2020-11-22
ln \(\displaystyle{\left({n}²+{12}\right)}={\ln{{\left(-{9}{n}-{2}\right)}}}\)

Answers (1)

2020-11-23
By one-to-one property,
\(\displaystyle{n}^{{2}}+{12}=−{9}{n}−{2}\)
Solve for nn. Isoalte the terms on one side:
\(\displaystyle{n}^{{2}}+{9}{n}+{14}={0}\)
Factor:
(n+7)(n+2)=0
By zero product property,
n=−7,−2
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