How do you write 2684354.56 as a power of 100?

Answer 1

100^3.21442 = 2,684,354.56

You need to use logarithms to solve this question. See below:

100^n = 2,684,354.56

Apply log natural i.e. log with base e (ln) - note you can use ANY log here, e.g. log with base 10:

ln(100^n) = ln(2,684,354.56)

n*ln(100) = ln(2,684,354.56)

n = ln(2,684,354.56) / ln(100)

n = 14.80295 / 4.60517

n = 3.21442

Test this:

100^3.21442 = 2,684,354.56, therefore correct!

Answer 2

2684354.56 can be written as 100^6.8.