Eli5 , Core of Logarithm

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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

8 Answers

Anonymous 0 Comments

It’s not an exact meaning to “multiplying by itself”

Clearly you can’t multiply 10 by itself by point whatever times.

But you can fill in the gaps with a different math function. (In this case exponentiation). As long as the exponent is a whole number it’s the same as multiplying the number by itself. But if it’s a decimal, it just isn’t the same as repeated multiplication and can only be understood as exponentiation.

So yeah, the answer is 10^0.778

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