SOLUTION: Help log5 x = 3

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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