How do you solve the exponential equation #25^(x-1)=125^(4x)#?
1 Answer
Feb 25, 2017
Explanation:
One way to solve this exponential would be through the use of logs. But maths is about more than just parroting out formulae. It's also about trying to see connections and ways to solve equations without always resorting to the use of formula.
So instead of using logs, let's try and rewrite this equation in a way that will make it easy to solve.
We have
And we know
So we can rewrite
as
Since we now have both exponentials raising the same number, we can set them equal to each other.