Find 1.8x, if e^(1.8x) = 2.

Lewis Harvey 2021-08-21 Answered
Find 1.8x, if \(\displaystyle{e}^{{{1.8}{x}}}={2}.\)

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Expert Answer

mhalmantus
Answered 2021-08-22 Author has 9220 answers

Add log on both sides:
\(\displaystyle{{\log{{e}}}^{{{1.8}{x}}}=}{\log{{2}}}\)
\(\displaystyle{1.8}{x}{\log{{e}}}={\log{{2}}}\)
\(\log e =1\)
\(\displaystyle{1.8}{x}={\log{{2}}}\)
\(\displaystyle{x}=\frac{{{\log{{2}}}}}{{1.8}}=\frac{{0.302}}{{1.8}}={0.168}\)

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