Rewrite log(cubed root of 34) as a product.
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Rewrite log(cubed root of 34) as a product.

[From: ] [author: ] [Date: 11-05-24] [Hit: ]
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I understand that the square root is equal to x^1/2. But what is the cubed root equal to?

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The cube root is x^1/3 so log(cube root of 34) would also be:
1/3 log(34)

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x^(m/n) = n_√x^m ---- where n_√ is the nth root
^--- basic exponent rules

log 3_√34 = log 34^(1/3)

log a^b = b log a
^--- logarithm rules

log 34^(1/3) = 1/3 * log 34

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First of all, it's called a "cube root", not a "cubed root".

log (34^(1/3)) = (1/3) log 34

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The cube root of x is x^(1/3).

log(34^(1/3)) = (1/3)*log(34)
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