Alg9.4.35

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What is the value of $\log_3(27\cdot\sqrt[4]{9}\cdot\sqrt[3]{9})\,$

$\log_3(3^3\cdot\sqrt{3}\cdot3^{\frac{2}{3}}\,$

Simplifying

$\log_3(3^{3+\frac{1}{2}+\frac{2}{3}})\,$

$\log_3(3^{23})\,$

Hence the solution is 23

Main Page:Algebra:Logarithmic

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