Ayuda porfavorlog de 125 con base 5 + log de 1 con base 5 =log de 243 con base 3 + log de 3 con base 3 =log de 8 con base 2 + log de 4 con base 2 =log de 100 con base 10 + log de 10 con base 10 =log d?

Los valores correspondientes a operaciones con logaritmos son : 1.

<img src="https://tex.z-dn.net/?f=log_%7B5%7D125%2Blog_%7B5%7D1%20%3D3" /> 2.

<img src="https://tex.z-dn.net/?f=log_%7B3%7D243%2Blog_%7B3%7D3%3D6" /> 3.

<img src="https://tex.z-dn.net/?f=log_%7B2%7D8%2Blog_%7B2%7D4%3D5" /> 4.

<img src="https://tex.z-dn.net/?f=log_%7B10%7D100%2Blog_%7B10%7D10%3D2" />5.

<img src="https://tex.z-dn.net/?f=log_%7B4%7D16%2Blog_%7B4%7D64%3D5" /> Sea, 1.

<img src="https://tex.z-dn.net/?f=log_%7B5%7D125%2Blog_%7B5%7D1" /> Aplicamos producto de logaritmo : <img src="https://tex.z-dn.net/?f=log_%7Ba%7Db%2Blog_%7Ba%7Dc%20%3D%20log_%7Ba%7D%28b.c%20%29" /> <img src="https://tex.z-dn.net/?f=log_%7B5%7D125%2Blog_%7B5%7D1%20%3D%20log_%7B5%7D%28125%20%29" /> Reescribimos : 125 = 5 ^ 3 = <img src="https://tex.z-dn.net/?f=log_%7B5%7D%285%5E%7B3%7D%20%29" /> Aplicamos logaritmo de la potencia : <img src="https://tex.z-dn.net/?f=log_%7Ba%7D%28x%5E%7Bb%7D%20%29%3D%20b.log_%7Ba%7D%28x%29" /> = [img = 10] = 3(1) = 32.

[img = 11] Aplicamos propiedad de logaritmo : [img = 12] = [img = 13] Reescribimos : 243 = 3 ^ 5 = [img = 14] Aplicamos logaritmo de la potencia : [img = 15] = [img = 16] = 5(1) = 5 + 1 = 63.

[img = 17] Reescribimos ; 8 = 2 ^ 3 y 4 = 2 ^ 2 = [img = 18] Aplicamos logaritmo de la potencia : [img = 19] = [img = 20] = 3(1) + 2(1) = 3 + 2 = 54.

[img = 21]Aplicamos propiedad de logaritmo : [img = 22] = [img = 23] Reescribimos : 100 = 10 ^ 2 = [img = 24] Aplicamos logaritmo de la potencia : [img = 25] = [img = 26] = 25.

[img = 27] Reescribimos ; 16 = 4 ^ 2 y 64 = 4 ^ 3 = [img = 28] Aplicamos logaritmo de la potencia : [img = 29] = [img = 30] = 2(1) + 3(1) = 2 + 3 = 5.