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Does the effects matter in order such as exhaust over ghost? or does the slow percent prioritze over the speed increase, vice versa?

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No, the order doesn't matter, both the slow and boost will be applied. However, the slow will always be more effective, so it's not necessarily worth to pop ghost while exhausted.

From http://leagueoflegends.wikia.com/wiki/Movement_speed, movement speed is calculated by:

Movement Speed = (Base Movement Speed + Flat Movement Bonuses) × (1 + Percentage Movement Bonuses) × Slow Ratio

E.g. if you have 310 base speed, your effective speed with both ghost (27% boost) and exhaust (40% slow) will be:

310 * 1.27 * 0.6 = 236.2

So the order doesn't matter, the end result is always the same. However, the slow is always more effective, because it's a ratio of the effective speed with boosts.

From the example above, normally ghosting would give you 83.7 extra speed, however, if you ghost while exhausted, you gain only 50.2.

Likewise, being exhausted normally subtracts 124 speed, but being exhausted while ghosting would subtract 157.5.

Another example; if you slow and boost yourself by an equal amount, say 20%, the net effect would be that you're slowed:

310 * 1.2 * 0.8 = 297.6

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    nice answer. but when I ghost while exhausted it does not look make any effect, until exhaustion is over. Are you sure about the speed up ?
    – Michel
    Commented Apr 4, 2012 at 17:08
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    Well -- as the math in this example shows, exhaust sets you down to 124, and ghosting would only improve that to 157 -- when your normal speed is 310, I guess you really won't feel that improvement at all.
    – kvikshaug
    Commented Apr 4, 2012 at 18:30
  • Sorry, my numbers were off. You'd be set down to 186 and improve it to 236.2, but the same argument still applies. It's a slight improvement, but still well below your normal speed.
    – kvikshaug
    Commented Apr 5, 2012 at 8:48

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