Question

x= log4 16

x=log1/2 2

2= log5 x

2 log2 = ¼

4 = logx 16

Answer 1

solucion
$x = log_{4} 16 \\ \\ 4^{x} =16 \\ \\ log4^{x} = log 16 \\ \\ xlog4 0 log 16 \\ \\ x = \frac{log16}{log4} \\ \\ x =2$


$x = log_{ \frac{1}{2} } 2 \\ \\ ( \frac{1}{2}) ^{x} = 2 \\ \\ log ( \frac{1}{2}) ^{x}= log2 \\ \\ xlog_{ \frac{1}{2} } = log2 \\ \\ x = \frac{xlog2}{log0,5} \\ \\ x = \frac{0,3010}{-0,3010} = -1$


$2 = log_{5} x \\ \\ 5^{2} = x \\ \\ x = 25$


$4 = log_{x} 16 \\ \\ x^{4} = 16 \\ \\ x^{4} = 2^{4} \\ \\ x = 2 \\ \\ saludos$