plotting - How to get grid lines at all (log) tick marks in Version 10?

Bug introduced in 10.0.0 and fixed in 10.1.0

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Update:

• It seems that only versions 10.0.0, 10.0.1, and 10.0.2 are affected by this problem.


• For 10.0.0 there is no general solution known to me due to Why does GridLines option fail with Function?


• For versions 10.0.1 and 10.0.2 a solution is the PlotTheme method in my self-answer.
  (The enhanced definition in that answer may still be of general interest.)


• In version 10.1.0 and later both GridLines -> All and GridLines -> Full produce the desired result, as shown in pmsoltani's now Accepted answer.

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In Version 7 using GridLines -> Automatic (or All) would put a grid line at every log-spaced tick mark:

LogPlot[x^x, {x, 1, 5},
 GridLinesStyle -> LightGray,
 GridLines -> Automatic, 
 Frame -> True]

In Version 10 this is no longer the case:

What is the simplest way to recover the old behavior?

Answer

You can, also, use GridLines -> Full option (in version 10.3, at least):

LogPlot[x^x, {x, 1, 5},
GridLinesStyle -> LightGray,
GridLines -> Full, 
Frame -> True]