how do I get rid of an exponent that is a fraction
Example: 400,000 = 2^t/5
To solve for t...
400,000 = 2t/5
Take the log of both sides.
log(400,000) = log(2t/5)
Rewrite as
log(400,000) = (t/5) * log(2)
Divide both sides by log(2).
log(400,000) / log(2) = t/5
Multiply both sides by 5.
5log(400,000) / log(2) = t
93.048 ≈ t
