Question

determine o valor de x: log 2+ log(x+5) =2

Answer 1

Olá,

Vamos as propriedades:


$( log_{a}(b) = x) = ( {a}^{x} = b) \\ \\ log_{a}(b) + log_{a}(c) = log_{a}(b \times c)$


Então:


$log(2) + log(x + 5) = 2 \\ log(2(x + 5)) = 2 \\ log(2x + 10) = 2 \\ \\ {10}^{2} = 2x + 10 \\ 100 - 10 = 2x \\ 2x = 90 \\ x = 45$