Question

Calcular "x"

log₃(x²+2) = 3

a) 5
b) +/-7
c) 6
d) +/-5

Answer 1

Respuesta:

$d) + \: o \: - 5$

Explicación paso a paso:

$log_{a}(x) = b \: \: \: pasara \: a \: ser \: \: \: x = {a}^{b}$

$log_{3}( {x}^{2} + 2 ) = 3 \\ {x}^{2} + 2 = {3}^{3} \\ {x}^{2} + 2 = 27 \\ {x}^{2} = 27 - 2 \\ {x}^{2} = 25$

X = ± 5

$x1 = - 5 \\ x2 = 5$

:)