Question

calcula el valor x en la ecuación: 2log x- 4 log 2 = log 2⁶



me urgen... por favor ​

Answer 1

Respuesta:

x = 32

Explicación paso a paso:

$2 logx - 4 log2 = log{2}^{6} \\ log{x}^{2} - log{2}^{4} = log{2}^{6} \\ log( \frac{ {x}^{2} }{ {2}^{4} } ) = log{2}^{6} \\ \frac{ {x}^{2} }{ {2}^{4} } = {2}^{6} \\ {x}^{2} = {2}^{6} . {2}^{4} = {2}^{6 + 4} = {2}^{10} \\ {x}^{2} = {2}^{10} \\ x = {2}^{ \frac{10}{2} } = {2}^{5} = 32 \\ x = 32$