Logarithms

Imagine a scaling where 10 maps to 1, 100 maps to 2, 1000 maps to 3, etc.

$10^1=10$

$10^2=100$

$10^3=1000$

Assume you want x such that $10^x=500$

The above statement will be true if

x = log (500)

x = 2.69897…

$10^2.69897=499.999995$