You can't really solve this with a calculator unless you have a TI-89( i think. TI - 89 is a beastly machine which can solve basically anything).
But you can get help from any calculator that is able to use the log function (I recommend the TI - 83 or 84 or higher ^_^). The reason being that you will have to log both sides getting
log 5^x = log 1953125. Because the x is an exponent you can bring it down. x log 5 = log 1953125. Here you whip out ur calc. and punch in (log 1953125) / (log 5). You should get x = 9.
Sorry if this was confusing. first time writing an answer on yahoo.