Please, write the logarithm as a ratio of common logarithms

Daniaal Sanchez 2021-08-17 Answered
Please, write the logarithm as a ratio of common logarithms and natural logarithms.
\(\displaystyle{{\log}_{{4}}{\left({71}\right)}}\)
a) common logarithms
b) natural logarithms

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Expert Answer

SoosteethicU
Answered 2021-08-18 Author has 9033 answers
common logarithms
\(\displaystyle{{\log}_{{4}}{71}}={\frac{{{{\log}_{{10}}{\left({71}\right)}}}}{{{{\log}_{{10}}{\left({4}\right)}}}}}\)
natural logarithms
\(\displaystyle{{\log}_{{4}}{71}}={\frac{{{{\log}_{{e}}{\left({71}\right)}}}}{{{{\log}_{{e}}{\left({4}\right)}}}}}\)
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