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

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

Question
Logarithms
asked 2021-02-16
How to solve \(\displaystyle{\log{{50}}}+{\log{{\left(\frac{{x}}{{2}}\right)}}}={0}\)

Answers (1)

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 \(\displaystyle{i}\mp{l}{i}{x}=\frac{{2}}{{50}}={0.04}\)
0

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