Formula to Find the Exponent

Question

Is there a formula that determinants the exponent used to get to an answer?

n^x = y

x = ?

n and y are known

ex: 2^x = 128 how do we get to x = 7?

Answer 1

That's what logarithms are for:

• If we start with $ n^x = y $ (where $n$ is called the base you take to the exponent to)
• Then $ log_n(y) = x $ (the subscript $n$ is still called the base)
• Also, for calculators, you can input the base like this: $ log(y)/log(n) = x $