# log₆ x(x + 5) = 2 answer

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

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brawnyN
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