Eli5 , Core of Logarithm

Question

Log 6= 0.778 ( base 10),
In other words when we multiply 10 by itself 0.778 times we get 6.

How would I multiply 10 by itself 0.778 times 🤔?

In: Mathematics

Answer 1

>How would I multiply 10 by itself 0.778 times 🤔?

You wouldn’t.

But if you multiplied 10 by itself 778 times, you’d get (approximately, since log_10 (6) isn’t exactly 0.778) the same result as if you multiplied 6 by itself one thousand times.

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Let’s try this again.

>How would I multiply 10 by itself 0.778 times 🤔?

You’d find a number N, that, if you multiplied it by itself 1,000 times, would give you 10. Then you multiply N by itself 778 times.