Question

determine o valor dos seguintes logaritmos
$log5(625)$

Answer 1

$a \: \: \: \: \: \: \: log_{5}(625) \\ 5 {}^{x} = 625 \\ 5 {}^{x} = 5 {}^{4} \\ x = 4$
$b \: \: \: \: \: \: \: log_{2}(32) = \\ 2 {}^{x} = 32 \\2 {}^{x} = 2 {}^{5} \\ x = 5$
$c \: \: \: \: \: \: \: \: log(0.0000001) \\ 10 {}^{x} = 10 {}^{ - 6} \\ x = - 6$
$d \: \: \: \: \: \: \: \: log_{7}( \sqrt{7} ) \\ 7 {}^{x} = \sqrt{7} \\ 7 {}^{x} = 7 {}^{\frac{1}{2}} \\ x = \frac{1}{2}$