Question

log √3(243)​

Answer 1

Answer:

49√21

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Answer 2

Answer:

10

Step-by-step explanation:

$log_{ \sqrt{3} }(243) \\ \\ = \frac{1}{ (\frac{1}{2}) } log_{3}(243) \\ \\ = 2 log_{3}(243) \\ \\ = 2 log_{3}( {3}^{5} ) \\ \\ = 2 \times 5 \times log_{3}(3) \\ \\ = 10(1) \\ \\ = 10$

$formulae \\ \\ log_{ {a}^{x} }(y) = \frac{1}{x} log_{a}(y) \\ \\ log_{a}( {x}^{m} ) = m log_{a}(x)$

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