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

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

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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