Question

Sendo que log 100= x, log 1000 = y, e log 2 4096 = z
Calcule o valor de x+y²-z

Answer 1

$log_{a} b=x----\ \textgreater \ a^{x} =b \\ \\ log100=x \\ \\ 10^{x} =100 \\ \\ x=2 \\ \\ \\ log1000=y \\ \\ 10^{y} =1000 \\ \\ y=3 \\ \\ \\ log_{2} 4096=z \\ \\ 2^{z} =4096 \\ \\ 2^{z} = 2^{12} \\ \\ z=12$

$x+y^2-z=2+3^2-12=2+9-12=11-12=-1$