\(\displaystyle{{\log}_{{8}}{\left({51}\right)}}\)

common logarithms

\(\displaystyle{{\log}_{{b}}{a}}={\frac{{{\log{{\left({a}\right)}}}}}{{{\log{{\left({b}\right)}}}}}}={\frac{{{\log{{\left({51}\right)}}}}}{{{\log{{\left({8}\right)}}}}}}\)

natural logarithms

\(\displaystyle{{\log}_{{b}}{a}}={\frac{{{\ln{{\left({a}\right)}}}}}{{{\ln{{\left({b}\right)}}}}}}={\frac{{{\ln{{\left({51}\right)}}}}}{{{\ln{{\left({8}\right)}}}}}}\)

common logarithms

\(\displaystyle{{\log}_{{b}}{a}}={\frac{{{\log{{\left({a}\right)}}}}}{{{\log{{\left({b}\right)}}}}}}={\frac{{{\log{{\left({51}\right)}}}}}{{{\log{{\left({8}\right)}}}}}}\)

natural logarithms

\(\displaystyle{{\log}_{{b}}{a}}={\frac{{{\ln{{\left({a}\right)}}}}}{{{\ln{{\left({b}\right)}}}}}}={\frac{{{\ln{{\left({51}\right)}}}}}{{{\ln{{\left({8}\right)}}}}}}\)