Maple prefers to deal with computations using natural logarithms, and therefore automatically converts log[b](x) to ln(x)/ln(b).   When dealing with step-by-step solutions intended to be viewed by students this conversion is not always intuitive.  This method converts log and ln functions within an expression to the specified %log[b] form.

Note the use of the % prefix denotes InertForm, which stops evaluation avoiding automatic conversion back to ln.

For converting inverse trigonometric functions in an expression into their corresponding logarithmic form, see convert/ln.

$\mathrm{ex1}≔\log \left[10\right]\left(x\right)$

$\mathrm{ex1}≔\frac{\ln \left(x\right)}{\ln \left(10\right)}$

$\mathrm{convert}\left(\mathrm{ex1}\,\mathrm{\%log}\left[10\right]\right)$

${\log }_{10}\left(x\right)$

$\mathrm{convert}\left(\ln \left(x\right)\,\mathrm{\%log}\left[10\right]\right)$

$\frac{{\log }_{10}\left(x\right)}{{\log }_{10}\left(\ⅇ\right)}$

$\mathrm{convert}\left(\frac{\ln \left(x\right)}{\ln \left(10\right)}-\log \left[100\right]\left(x\right)\,\mathrm{\%log}\left[10\right]\right)$

$\frac{{\log }_{10}\left(x\right)}{2}$

The convert/log command was introduced in Maple 2024.

For more information on Maple 2024 changes, see Updates in Maple 2024.