Question

log625√5 por favooooorr

Answer 1

log (base 625) √5 = 

625^x = √5           <<< transformando em base 5:

(5^4)^x = 5^1/2
5^4x = 5^1/2
4x = 1/2
x = (1/2)/4
x = 1/8

Bons estudos

Answer 2

Logaritmo:

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