Question

X=log_2 2√2 e y=log_0,01 10 qual valor de x+y

Answer 1

$x = log_{2} 2 \sqrt{2} \\ \\ y= log_{0,01}=10 \\ \\ 2^{x}=2 \sqrt{2} \\ 2^{x}= \sqrt{2.4} \\ 2^{x}= \sqrt{8} \\ 2^{x}=8^{ \frac{1}{2} } \\ 2^{x}=(2^{3})^{ \frac{1}{2} } \\ 2^{x}=2^{ \frac{3}{2} } \\ x = \frac{3}{2} \\ \\ 0,01^{y}=10 \\ (10^{-2})^{y}=10 \\ 10^{-2y}=10 \\ -2y = 1 \\ y = - \frac{1}{2} \\ \\ x + y = \frac{3}{2} - \frac{1}{2} \\ x+y = \frac{3-1}{2} \\ x+y = \frac{2}{2} \\ x+y = 1$

Espero ter ajudado.