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convert/expln

convert elementary functions to exp and ln

 Calling Sequence convert(expr, expln)

Parameters

 expr - expression with elementary functions

Description

 • The convert/expln function converts all elementary functions to exp and ln.

Examples

 > $f≔\mathrm{cos}\left(x\right)\mathrm{sin}\left(x\right):$
 > $\mathrm{convert}\left(f,\mathrm{expln}\right)$
 ${-}\frac{{I}}{{2}}{}\left(\frac{{{ⅇ}}^{{I}{}{x}}}{{2}}{+}\frac{{{ⅇ}}^{{-I}{}{x}}}{{2}}\right){}\left({{ⅇ}}^{{I}{}{x}}{-}{{ⅇ}}^{{-I}{}{x}}\right)$ (1)

The convert/expln function will convert all elementary functions to either exp or ln.

 > $\mathrm{convert}\left(\mathrm{arctanh}\left(x\right),\mathrm{expln}\right)$
 $\frac{{\mathrm{ln}}{}\left({x}{+}{1}\right)}{{2}}{-}\frac{{\mathrm{ln}}{}\left({1}{-}{x}\right)}{{2}}$ (2)
 > $\mathrm{convert}\left(\mathrm{arctanh}\left(x\right),\mathrm{exp}\right)$
 ${\mathrm{arctanh}}{}\left({x}\right)$ (3)
 > $\mathrm{convert}\left(\mathrm{arctanh}\left(x\right),\mathrm{ln}\right)$
 $\frac{{\mathrm{ln}}{}\left({x}{+}{1}\right)}{{2}}{-}\frac{{\mathrm{ln}}{}\left({1}{-}{x}\right)}{{2}}$ (4)