Question 620214: Help me with this: 5^(x/100)=2. I was asked to solve the equation. Thanks for your help. Found 2 solutions by ewatrrr, solver91311:Answer by ewatrrr(24785) (Show Source):
Take the log of both sides. Choice of base depends on whether:
1) you want an exact answer or if you have a calculating device that can give you a log value to any base you choose in which case choose base 5
2) you definitely want a numeric approximation and you only have tables or a calculating device that gives you base 10 or base e logs in which case choose base 10 or e.
Use
to write
Solve for
Like I said, use any base you like, but if you just want to render the exact answer use base 5 because , so the expression would reduce to:
John
My calculator said it, I believe it, that settles it