Question

if a ^ x=n, then x=​

Answer 1

Step-by-step explanation:

You use logarithms.

n log x = log y

n = log y / log x

To test, let's say y is 1,000 and x is 1,000,000. Let's work in base ten so that the logs (exponents, right?) are integers equal to the number of zeroes, in this example.

n = 3 / 6 , which equals 1/2, right?

A number raised to the 1/2 produces its square root, right?

So: the square root of 1,000,000 = 1,000. Is it true?

Yes, it is.

n = 0.5 or 1/2.