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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) $$\Large 27^{\frac{2}{3}}$$

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

$$\Large log_{27}81=\frac{4}{3}$$

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

= $$\Large 3^{4}$$

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

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