SOLUTION: Write a logarithmic equation with base 5 that is equivalent to the equation f (t) = 2t.

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Question 355649: Write a logarithmic equation with base 5 that is equivalent to the equation
f (t) = 2t.
Found 2 solutions by Theo, jrfrunner:
Answer by Theo(13342) About Me  (Show Source):
You can put this solution on YOUR website!
f(t) = 2*t

let t = log(5,x)

you get f(t) = 2*t becomes f(x) = 2*log(5,x)

The equation you are looking for would be:

f(x) = 2*(log(5,x)

This is equivalent to the equation f(t) = 2*t when t = log(5,x).

log(5,x) means the log of x to the base 5.


Answer by jrfrunner(365) About Me  (Show Source):
You can put this solution on YOUR website!
in logarithms, t=b%5Elog%28b%2Ct%29 for any base b
-
therefore
f(t)=2t= 2%2A5%5Elog%285%2Ct%29