Question

Calcule o logaritmos
Log5 625=

Answer 1

Lembrete:

⇒ $\log _a\left(a^b\right)=b$
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Primeiramente iremos fatora o numero 625:

625 | 5
125 | 5
25   | 5
5     | 5
1               625 = 5×5×5×5

$\log _5\left(625\right)\\\log _5\left(5^4\right)\\\boxed{\bold{4}}$

Answer 2

$log_{5}(625) \\ {5}^{x} = 625 \\ {5}^{x} = {5}^{4} \\ x = 4$