Question

Qual o log de √32 com base 4?

Answer 1

$\mathasf{\ell og_4\sqrt{32}=y}\\\\\mathsf{4^y=\sqrt{32}}\\\mathsf{(2^2)^y=2^{\frac{5}{2}}}\\\mathsf{2^{2y}=2^{\frac{5}{2}}}\\\\\mathsf{2y=\frac{5}{2}}\\\\\mathsf{y=\frac{5}{4}}$

Dúvidas? comente

Answer 2

㏒₄√32 = x
4ˣ = √32
(2²)ˣ = √2⁵
$(2^{2})^{x}= 2^{ \frac{5}{2} }$
2x = ⁵/₂
x = ⁵/₄