Question

3logx-2log(x/2)=log32​

Answer 1

Respuesta:

x = 8

Explicación paso a paso:

$3 \: log(x) - 2 \: log( \frac{x}{2} ) = log(32 ) \\ \\ log( {x}^{3} ) - log( \frac{ {x}^{2} }{4} ) = log(32) \\ \\ log( \frac{ {x}^{3} }{ \frac{ {x}^{2} }{4} }) = log(32) \\ \\ \frac{ {x}^{3} }{ \frac{1}{ \frac{ {x}^{2} }{4} } } = 32 \\ \\ \frac{4 {x}^{3} }{ {x}^{2} } = 32 \\ \\ 4x = 32 \\ \\ x = \frac{32}{4} \\ \\ x = 8$