Question

hallar logartmo de los siguientes prductos

• log a + log b
• log x – log y
• log a – log x – log y
• log p + log q – log r – log s
• log 2 + log 3 + log 4
•

Answer 1

Para este tipo de ejercicios tienes que aplicar las propiedades de logaritmos.

log a + log b =
log (ab)

log x – log y =
log(x/y)

log a – log x – log y =
log a - (log x + log y) =
log a - (log (xy)) =
log (a / xy)

log p + log q – log r – log s =
(log p + log q) - (log r + log s) =
log (pq) - log (rs) =
log (pq / rs)

(log 2 + log 3) + log 4 =
log (2)(3) + log 4 =
log 6 + log 4 =
log (6)(4) =
log 24

Suerte

Answer 2

Respuesta:

• log a + log b

$log (a) + log( b)=\\\\log(a\cdot b)=\\\\log(ab)$

• log x - log y

$log (x) - log (y)=\\\\log(\frac{x}{y})$

• log a - log x - log y

$log (a) -log (x) - log (y)=\\\\log(\frac{a}{x\cdot y})=\\\\log(\frac{a}{xy} )$

• log p - log q - log r - log s

$log (p) + log (q) - log (r) - log (s)=\\\\log (\frac{p\cdot q}{r\cdot s})=\\\\log(\frac{pq}{rs})$

• log 2 + log 3 + log 4

$log (2) + log (3) + log (4)=\\\\log(2\cdot 3\cdot 4)=\\\\log(24)=\\\\1,380211242$