Question

Log625 raiz de 5 preciso da resposta

Answer 1

Logaritmo:

$log_{625}( \sqrt{5} ) = \color{red} {x} \\ {625}^{x} = \sqrt{5} \\ {\diagup\!\!\!\!5}^{4x} = {\diagup\!\!\!\!5}^{ \frac{1}{2} } \\ 4x = \frac{1}{2} \\ x = \frac{1}{2} \div 4 \\ x = \frac{1}{2} \times \frac{1}{4} \\ \boxed{ \bf{x = \frac{1}{8} } }$