Question 47446: Help
log5 x = 3
Answer by longjonsilver(2297)   (Show Source):
You can put this solution on YOUR website! this is asking: what number (here x) is equal to 5^3. Answer is 5*5*5 --> 125
so in base 5 logs, log125 is equal to 3.
In terms of manipulating the equation, we have
log5 x = 3
we do not want the log bit, so we need to remove it. We remove anything in maths by doing the opposite. The opposite of log5 is to raise to base 5:
log5 x = 3 becomes
5^log5 x = 5^3
and the "5^log5" cancels each other out. That is the point of doing it. This leaves:
x = 5^3
x = 125
jon
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