Question

Qual é resposta de da seguinte função logarítmica: log₄ √32

Answer 1

4^x =2^(5/2)
2^(2x) =2^(5/2)
2x=5/2
x=5/4

Answer 2

$log_{4}^~\sqrt{32}}\\\\\\4^{x} = \sqrt{32}\\\\\ (2)^{2x} = \sqrt{2^{5}}\\\\\ \diagup\!\!\!\!2^{2x} = \diagup\!\!\!\!\!2^{^\frac{5}{2}}\\\\\\ 2x = \dfrac{5}{2}}\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\boxed{x = \dfrac{5}{4}}}}}}}}}}}}}$

Espero que te ajude. :-)

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