Question

Como calcular o logaritmo de 2401 com base raiz de 7 = x?

Answer 1

$log_ {\sqrt{7}}2401=x \\ \\ (\sqrt{7})^x=2401 \\ \\ (7^{\frac{1}{2}})^x=7^4 \\ \\ 7^{ \frac{x}{2}}=7^4 \\ \\ \frac{x}{2}=4 \\ \\ x=4*2 \\ \\ x=8$


$log_{\sqrt{7}}2401=8$


S={8}