log₆ x(x + 5) = 2 answer

slaggingV 2020-11-23 Answered

\(\log_{6}x(x+5)=2\)

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Expert Answer

brawnyN
Answered 2020-11-24 Author has 9559 answers
Write in exponential form: \(\displaystyle{\log{{x}}}={a}→{10}^{{a}}={x}\)
\(\displaystyle{x}{\left({x}+{5}\right)}={6}^{{2}}\)
\(\displaystyle{x}^{{2}}+{5}{x}={36}\)
\(\displaystyle{x}^{{2}}+{5}{x}−{36}={0}\)
Factor:
(x+9)(x−4)=0
By zero product property,
x=−9,4
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