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
The square root of 10 is about 3.16227766, and that number is like 1/2 of multiplying by 10. (In other words, multiplying by 3.16227766… twice is exactly like multiplying by 10.)
The cube root (third root) of 10 is about 2.15443469, so that’s like a third of multiplying by 10. (Multiplying by 2.15443469… three times is the same as multiplying by 10.)
The fourth root of 10 is 1.77827941… and that’s like a fourth of multiplying by 10.
And so on. There are an infinite number of roots of 10, and each of them is like multiplying by ten 1/2, 1/3, 1/4 or whatever number of times. If you multiplied together some combination of those roots (for instance, the 10th root 7 times, the 100th root 7 times and the 1000th root 8 times) that would be equivalent to multiplying by 10, 0.778 times.
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