g = Plot[{Log[2, x], Log[\[ExponentialE], x], Log[10, x], Log[0.5, x]}, {x, 0, 15}, PlotRange -> {-4, 4}, PlotStyle -> {Thickness[0.007]}, AxesStyle -> Directive[FontSize -> 12, FontFamily -> "Arial", Thickness[0.003]], AxesLabel -> {"x", None}, Ticks -> {{{1.05, 1}, 2, {\[ExponentialE], "\!\(\* StyleBox[\"e\",\nFontSlant->\"Italic\"]\)"}, 4, 6, 10, 15}, {-4, -3, -2, -1, 0, 1, 2, 3, 4}}, Epilog -> { FontSize -> 12, FontFamily -> "Arial", Inset[ "\!\(\*SubscriptBox[\"log\", \"2\"]\)(\!\(\*AdjustmentBox[\"x\",\ \nBoxMargins->{{-0.06177606177606178, 0.06177606177606178}, {0., \ 0.}}]\))", {8, 3.4}], Inset["\!\(\*SubscriptBox[\"log\", StyleBox[\"e\",\nFontSlant->\"Italic\"]]\)(\!\(\*AdjustmentBox[\"x\",\ \nBoxMargins->{{-0.06177606177606178, 0.06177606177606178}, {0., \ 0.}}]\))", {9.7, 2.6}], Inset[ "\!\(\*SubscriptBox[\"log\", \ \"10\"]\)(\!\(\*AdjustmentBox[\"x\",\n\ BoxMargins->{{-0.06177606177606178, 0.06177606177606178}, {0., \ 0.}}]\))", {13, 1.45}], Inset["\!\(\*SubscriptBox[\"log\", RowBox[{\"1\", \"/\", \"2\"}]]\)(\!\(\*AdjustmentBox[\"x\",\n\ BoxMargins->{{-0.06177606177606178, 0.06177606177606178}, {0., \ 0.}}]\))", {8, -2.55}], Dotted, Gray, Thickness[0.003], Line[{{0, 1}, {15, 1}}], Line[{{0, -1}, {15, -1}}], Line[{{2, 1}, {2, -1}}], Line[{{\[ExponentialE], 1}, {\[ExponentialE], 0}}], Line[{{10, 1}, {10, 0}}], Black, PointSize[Medium], Point[{{2, 1}, {\[ExponentialE], 1}, {10, 1}, {2, -1}}] }] Export["%HOMEDIR%/documents/logarithm_plots.svg", g]

After exporting the file, the following manual adjustments had to be applied: explicitly specify width and height in the top-level <svg> tag; delete all occurrences of some mysterious &#xf39f; token; replace all occurrences of &#xf048;, &#xf04c;, and &#xf090; with symbols "(", ")", "/" respectively, and made them Arial.

This file is licensed under the Creative Commons Attribution-Share Alike 3.0 Unported license.

You are free:

• to share – to copy, distribute and transmit the work
• to remix – to adapt the work

Under the following conditions:

• attribution – You must give appropriate credit, provide a link to the license, and indicate if changes were made. You may do so in any reasonable manner, but not in any way that suggests the licensor endorses you or your use.
• share alike – If you remix, transform, or build upon the material, you must distribute your contributions under the same or compatible license as the original.

https://creativecommons.org/licenses/by-sa/3.0CC BY-SA 3.0 Creative Commons Attribution-Share Alike 3.0 truetrue