Question

calcule utilizando a definição:


a)
$log )\pi\pi$


$b)log2 \sqrt{2}$

$c) log 27 {}^{81}$



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Answer 1

a)

$log_{\pi}(\pi) = x \\ {\pi}^{x} = \pi \\ x = 1$

b)

$log_{2}( \sqrt{2})= x \\ {2}^{x} = \sqrt{2} \\ {2}^{x} = {2}^{ \frac{1}{2} } \\ x = \dfrac{1}{2}$

c)

$log_{27}(81) = x \\ {27}^{x} = 81 \\ {3}^{3x} = {3}^{4} \\ 3x = 4 \\ x = \dfrac{4}{3}$