Question

Calcular, pela definição, os seguintes logaritmos: (a) log com base 2 √2

Answer 1

Resolução da questão, veja:

$\mathsf{log_{2}^~{\sqrt{2}}} = \mathsf{x}}}\\\\\\\\\ \mathsf{2^{x} = \sqrt{2}}}\\\\\\\\\ \mathsf{\diagup\!\!\!\!2^{x} = \diagup\!\!\!\!\!2^{^\frac{1}{2}}}}}\\\\\\\\\ \large\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\boxed{\mathsf{x=\dfrac{1}{2}}}}}}}}}}}}}}}}}}}}}}$

Espero que te ajude '-'