Logarithms were invented a long, long time ago when people needed to do a lot of big math problems, but they didn't have calculators like we do now.
The first person to come up with the idea of logarithms was a Scottish man named John Napier. He lived in the 1600s, which is even before your great-great-great-great-great-grandparents were born! John Napier thought it would be helpful if there was a way to make big math problems easier to work out, so he came up with something called logarithms.
A logarithm is a way of figuring out how many times you have to multiply a number by itself to get another number. For example, if you wanted to know how many times you have to multiply 2 by itself to get 16, you would use logarithms. The answer is 4, because 2 x 2 x 2 x 2 = 16.
John Napier created a book called "Mirifici Logarithmorum Canonis Descriptio" which means "A Description of the Miraculous Table of Logarithms." This book was really important because it gave people a way of doing big math problems without using a lot of paper and pencil.
After John Napier, other people started using logarithms too. Lots of smart people like Isaac Newton and Gottfried Leibniz used logarithms in their work. They even came up with ways to make logarithms even more useful for doing math problems.
Nowadays, we don't have to use logarithms as much because we have calculators and computers that can do all of the big math problems for us. But we still use logarithms in some important fields like science, engineering, and finance. So even though they were invented a long time ago, logarithms are still really important!