# How to solve log 50 + log (x/2)=0

Question
Logarithms
How to solve $$\displaystyle{\log{{50}}}+{\log{{\left(\frac{{x}}{{2}}\right)}}}={0}$$

2021-02-17
$$\displaystyle{\log{{\left({50}\right)}}}+{\log{{\left(\frac{{x}}{{2}}\right)}}}={0}$$
$$\displaystyle{\log{{\left(\frac{{x}}{{2}}\right)}}}=-{\log{{\left({50}\right)}}}$$
$$\displaystyle{\log{{\left({x}\right)}}}-{\log{{\left({2}\right)}}}=-{\log{{\left({50}\right)}}}$$
$$\displaystyle{\log{{\left({x}\right)}}}={\log{{\left({2}\right)}}}-{\log{{\left({50}\right)}}}={\log{{\left(\frac{{2}}{{50}}\right)}}}$$
that $$\displaystyle{i}\mp{l}{i}{x}=\frac{{2}}{{50}}={0.04}$$

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