Question

2lg8+lg0,5 деленая на lg8-lg16 равно

Answer 1

$frac{2lg 8 +lg 0,5}{lg 8-lg 16} = frac{lg 64+lg 0,5}{lg frac{8}{16} } = frac{lg 32}{lg frac{1}{2} }= frac{lg 4*8}{-1lg 2}= frac{lg 2^2+lg 2^3}{-1lg 2}= frac{2lg2+3lg2}{-1lg 2}$
$= frac{5lg2}{-1lg2}=-5$

Answer 2

$frac{2lg8+lg0,5}{lg8-lg16}= frac{lg8^2+lg0,5}{lg frac{8}{16} }= frac{lg(64*0,5)}{lg frac{1}{2} }= frac{lg32}{-lg2}=-log_232=-5$