Question

Aratati ca numarul a = 6(log8 4 - log4 2) este natural.​

Answer 1

Explicație pas cu pas:

log8 (4)=2/3

log4 (2)= 1/2

6(2/3-1/2)=1

Bafta!

Answer 2

$a=6(log_84-log_42)\\ \\ a=6(\frac{log_24}{log_28}-\frac{log_22}{log_24})\\ \\ a=6(\frac{2}{3}-\frac{1}{2})\\ \\  a=2\cdot 2-1\cdot 3\\ \\ a=4-3\\ \\ a=1 \in \mathbb{N}$