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Write in terms of indices: \( \Large log_{27}81=\frac{4}{3} \)

A) \( \Large 3^{4} \)
B) \( \Large 3^{3} \)
C) \( \Large 27^{\frac{1}{3}} \)
D) \( \Large 27^{\frac{2}{3}} \)

Correct Answer:

A) \( \Large 3^{4} \)

Description for Correct answer:
\( \Large log_{27}81=\frac{4}{3} \)

\( \Large 81= \left(27\right)^{\frac{4}{3}}= \left(3^{3}\right)^{\frac{4}{3}} \)

= \( \Large 3^{4} \)

Part of solved Logarithms questions and answers : >> Elementary Mathematics >> Logarithms

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