The Combine command combines expressions.

The Combine command performs the following transformations after calling SolveTools[CancelInverses] on the expr first.

If the option 'ln' is specified, the transformation is the following.

If the option 'exp' is specified, the transformations are the following.

If the option 'power' is specified, the transformations are the following.

The last transformation is only done if ${\ⅇ}^{b\ln \left(a\right)}$ is already present.

In all of the previous transformations, i and j denote integers.

If no options are specified, all combinations are performed.

Note: Not all simplifications are valid everywhere. You should be aware of this when calling Combine.

$\mathrm{with}\left(\mathrm{SolveTools}\right)\:$

$\mathrm{Combine}\left(3x\ln \left(y\right)+4x\ln \left(z\right)+{\left(\exp \left(t\right)\right)}^5{\left(\exp \left(s\right)\right)}^6\right)$

${\ⅇ}^{5t+6s}+x\ln \left(y^3{z}^4\right)$

$\mathrm{Combine}\left(3x\ln \left(y\right)+4x\ln \left(z\right)+{\left(\exp \left(t\right)\right)}^5{\left(\exp \left(s\right)\right)}^6\,'\ln '\right)$

${\left({\ⅇ}^t\right)}^5{\left({\ⅇ}^s\right)}^6+x\ln \left(y^3{z}^4\right)$

$\mathrm{Combine}\left(3x\ln \left(y\right)+4x\ln \left(z\right)+{\left(\exp \left(t\right)\right)}^5{\left(\exp \left(s\right)\right)}^6\,'\exp '\right)$

$3x\ln \left(y\right)+4x\ln \left(z\right)+{\ⅇ}^{5t+6s}$

$\mathrm{Combine}\left({\left(x^y\right)}^5+{\left(x^z\right)}^6+5t\ln \left(z\right)+6t\ln \left(x\right)\,'\mathrm{power}'\right)$

$x^{5y}+x^{6z}+5t\ln \left(z\right)+6t\ln \left(x\right)$

$\mathrm{Combine}\left({\left(x^y\right)}^5+{\left(x^z\right)}^6+5t\ln \left(z\right)+6t\ln \left(x\right)\,'\mathrm{power}'\,'\ln '\right)$

$x^{5y}+x^{6z}+t\ln \left(x^6{z}^5\right)$

$\mathrm{Combine}\left(a^b+2\exp \left(b\ln \left(a\right)\right)\right)$

$3{\ⅇ}^{b\ln \left(a\right)}$