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How do you express a number as a power of 3?

User Shandy
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1 Answer

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Answer:

the power of 3 is the log, base 3, of the number

Explanation:

The relationship between powers and logarithms is ...

y = 3^x

x = log₃(y) = log(y)/log(3)

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For example, if you want 5 as a power of 3, that power will be ...

log(5)/log(3) = 0.69897/0.47712 = 1.46497

That is, ...

5 = 3^1.46497

User Morilog
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