Rewrite the following as an equivalent logarithmic equation. e^{3}=20.0855 An equivalent logarithmic for e^{3}=20.0855 is ?

Rewrite the following as an equivalent logarithmic equation. e^{3}=20.0855 An equivalent logarithmic for e^{3}=20.0855 is ?

Question
Decimals
asked 2021-03-02
Rewrite the following as an equivalent logarithmic equation. \(\displaystyle{e}^{{{3}}}={20.0855}\) An equivalent logarithmic for e^{3}=20.0855 is ?

Answers (1)

2021-03-03
\(\displaystyle{e}^{{{3}}}={20.0855}\) Taking log on both side \(\displaystyle{{\log{{e}}}^{{{3}}}=}{\log{\ }}{20.0855}\) We know log property \(\displaystyle{{\log{{m}}}^{{{n}}}=}{n}\ {\log{\ }}{m}\) Therefore Answer: \(\displaystyle{3}\ {\log{\ }}{e}={\log{\ }}{20.0855}\)
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