MatemáticasBásico1 respuestas

Exprese como un solo logaritmo ?

Exprese como un solo logaritmo . Por favor . Help me.

8Dianitazambra3905

En resumen

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Clog%20_5%5Cleft%2849%5Cright%29-%5Cfrac%7B1%7D%7B3%7D%5Clog%20_5%5Cleft%288%5Cright%29%2B13%5Clog%20_5%5Cleft%281%5Cright%29" /> Logaritmo de 1 = 0 <img src="https://tex.z-dn.net/?

Mejor respuesta

Charliecesar14

0

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Clog%20_5%5Cleft%2849%5Cright%29-%5Cfrac%7B1%7D%7B3%7D%5Clog%20_5%5Cleft%288%5Cright%29%2B13%5Clog%20_5%5Cleft%281%5Cright%29" />

Logaritmo de 1 = 0

<img src="https://tex.z-dn.net/?f=13%5Clog%20_5%5Cleft%281%5Cright%29%20%3D%200" />

<img src="https://tex.z-dn.net/?f=%5Clog%20_a%5Cleft%28x%5Eb%5Cright%29%3Db%5Ccdot%20%5Clog%20_a%5Cleft%28x%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Clog%20_5%5Cleft%2849%5Cright%29%20%3D%20%20%5Cfrac%7B1%7D%7B2%7D2%5Clog%20_5%5Cleft%287%5Cright%29%20" />

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7D%5Clog%20_5%5Cleft%2849%5Cright%29%20%3D%5Clog%20_5%5Cleft%287%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B3%7D%5Clog%20_5%5Cleft%288%5Cright%29%20%3D%20%20%5Cfrac%7B1%7D%7B3%7D%5Clog%20_5%5Cleft%282%5E3%5Cright%29%20" />

<img src="https://tex.z-dn.net/?f=3%20%5Cfrac%7B1%7D%7B3%7D%5Clog%20_5%5Cleft%282%5Cright%29%20%3D%20%5Clog%20_5%5Cleft%282%5Cright%29" />

Ahora :

<img src="https://tex.z-dn.net/?f=%5Clog%20_5%5Cleft%287%5Cright%29-%5Clog%20_5%5Cleft%282%5Cright%29" />

Aplicamos :

<img src="https://tex.z-dn.net/?f=%5Clog%20_c%5Cleft%28a%5Cright%29-%5Clog%20_c%5Cleft%28b%5Cright%29%3D%5Clog%20_c%5Cleft%28%5Cfrac%7Ba%7D%7Bb%7D%5Cright%29%20" /> = <img src="https://tex.z-dn.net/?f=%5Clog%20_5%5Cleft%28%5Cfrac%7B7%7D%7B2%7D%5Cright%29" /> (Expresion Final).