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Ayuda log 8 512Log 5 512?

Ayuda log 8 512 Log 5 512.

7Veriitow

En resumen

<img src="https://tex.z-dn.net/?f=%5Clog%20_8%5Cleft%28512%5Cright%29" /> <img src="https://tex.z-dn.net/?f=%5Cmathrm%7BReescribir%5C%3A%7D512%5Cmathrm%7B%5C%3Autilizando%5C%3Apotencias%3A%7D%5Cquad%20512%3D8%5E3" /> <img src="https://tex.z-dn.net/?

Mejor respuesta

Lued812

4

<img src="https://tex.z-dn.net/?f=%5Clog%20_8%5Cleft%28512%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BReescribir%5C%3A%7D512%5Cmathrm%7B%5C%3Autilizando%5C%3Apotencias%3A%7D%5Cquad%20512%3D8%5E3" />

<img src="https://tex.z-dn.net/?f=%3D%5Clog%20_8%5Cleft%288%5E3%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BAplicar%5C%3Alas%5C%3Apropiedades%5C%3Ade%5C%3Alos%5C%3Alogaritmos%7D%3A%5Cquad%20%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=%3D3%5Clog%20_8%5Cleft%288%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BAplicar%5C%3Alas%5C%3Apropiedades%5C%3Ade%5C%3Alos%5C%3Alogaritmos%7D%3A%5Cquad%20%5Clog%20_a%5Cleft%28a%5Cright%29%3D1" /><img src="https://tex.z-dn.net/?f=%5Clog%20_8%5Cleft%288%5Cright%29%3D1" /> = 3(1) = 3

<img src="https://tex.z-dn.net/?f=%5Clog%20_5%5Cleft%28512%5Cright%29" />

<img src="https://tex.z-dn.net/?f=%5Cmathrm%7BReescribir%5C%3A%7D512%5Cmathrm%7B%5C%3Autilizando%5C%3Apotencias%3A%7D%5Cquad%20512%3D2%5E9" />

<img src="https://tex.z-dn.net/?f=%3D%5Clog%20_5%5Cleft%282%5E9%5Cright%29" />

[img = 10]

[img = 11]

[img = 12].

Otras 1 respuestas

Respuesta 2

Vicky2612

1

Fácil lo que debes hacer es :

Convertir a forma exponencial :

8 ^ x = 512 = 8 ^ 3

x = 3

El logaritmo de 512 ala base 8 = 3.