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First Fundamental Theorem of Calculus

Calculate the...

Question

Calculate the value of $l o g_{3} \sqrt[9]{3}$ .

A

\frac{1}{9}

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B

\frac{3}{2}

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C

\frac{1}{2}

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D

1

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E

3

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Solution

The correct option is B $\frac{1}{9}$
${log}_{3} \sqrt[9]{3} = {log}_{3} 3^{1 / 9} = \frac{1}{9} {log}_{3} 3 = \frac{1}{9}$

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