Question

quien me ayuda con esto. Doy CORONA​

Answer 1

Respuesta:

EDR

Explicación paso a paso:

Answer 2

Respuesta:

Explicación paso a paso:

$a)\log _{\frac{1}{2}}\left(\frac{1}{8}\right)\\\\\log _{\frac{1}{2}}\left(\left(\frac{1}{2}\right)^3\right)\\\\3$

$B)\log _{\frac{2}{5}}\left(\frac{4}{36}\right)\\\\\log _{\frac{2}{5}}\left(\frac{1}{9}\right)\\\\\log _{\frac{2}{5}}\left(9^{-1}\right)\\\\-1\cdot \log _{\frac{2}{5}}\left(9\right)\\\\-\log _{\frac{2}{5}}\left(9\right)\\\\-\log _{\frac{2}{5}}\left(3^2\right)\\\\-2\log _{\frac{2}{5}}\left(3\right)$

$c) \log _{10}\left(\frac{1}{3}\times \frac{1}{27}\right)\\\\\log _{10}\left(\frac{1}{81}\right)\\\\\log _{10}\left(81^{-1}\right)\\\\-1\times \log _{10}\left(81\right)\\\\-\log _{10}\left(81\right)\\\\-\log _{10}\left(3^4\right)\\\\-4\log _{10}\left(3\right)$

$D) \log _{\frac{2}{5}}\left(\frac{16}{625}\right)\\\\\log _{\frac{2}{5}}\left(16\right)-\log _{\frac{2}{5}}\left(625\right)\\\\4\log _{\frac{2}{5}}\left(2\right)-4\log _{\frac{2}{5}}\left(5\right)$

$e) \log _{\frac{5}{6}}\left(\frac{25}{36}\right)\\\\\log _{\frac{5}{6}}\left(25\right)-\log _{\frac{5}{6}}\left(36\right)\\\\2\log _{\frac{5}{6}}\left(5\right)-2\log _{\frac{5}{6}}\left(6\right)$

$f)\log _{\frac{4}{9}}\left(\frac{16}{81}\right)\\\\\log _{\frac{4}{9}}\left(\left(\frac{4}{9}\right)^2\right)\\\\2$

$g)\log _{\frac{1}{2}}\left(\frac{1}{32}\right)\\\\\log _{\frac{1}{2}}\left(\left(\frac{1}{2}\right)^5\right)\\\\5$

$h) \log _{\frac{2}{7}}\left(\frac{81}{49}\right)\\\\\log _{\frac{2}{7}}\left(81\right)-\log _{\frac{2}{7}}\left(49\right)\\\\4\log _{\frac{2}{7}}\left(3\right)-2\log _{\frac{2}{7}}\left(7\right)$