¿Me podeis resolver estas ecuaciones?

<img src="https://tex.z-dn.net/?f=%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%2B%5Clog%20_%7B10%7D%5Cleft%28x-1%5Cright%29%3D%5Clog%20_%7B10%7D%5Cleft%2812%5Cright%29%5C%5C%5Cmathrm%7BAplicar%5C%3Alas%5C%3Apropiedades%5C%3Ade%5C%3Alos%5C%3Alogaritmos%7D%3A%5Cquad%20%5Clog%20_c%5Cleft%28a%5Cright%29%2B%5Clog%20_c%5Cleft%28b%5Cright%29%3D%5Clog%20_c%5Cleft%28ab%5Cright%29%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%2B%5Clog%20_%7B10%7D%5Cleft%28x-1%5Cright%29%3D%5Clog%20_%7B10%7D%5Cleft%28x%5Cleft%28x-1%5Cright%29%5Cright%29%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%28x%5Cleft%28x-1%5Cright%29%5Cright%29%3D%5Clog%20_%7B10%7D%5Cleft%2812%5Cright%29%5C%5C%5C%5Cx%5Cleft%28x-1%5Cright%29%3D12%5C%5C%5C%5Cx%3D4" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - <img src="https://tex.z-dn.net/?f=%5Clog%20_%7B10%7D%5Cleft%28x%2B1%5Cright%29-%5Clog%20_%7B10%7D%5Cleft%28x-1%5Cright%29%3D1-%5Clog%20_%7B10%7D%5Cleft%286%5Cright%29%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%28x%2B1%5Cright%29-%5Clog%20_%7B10%7D%5Cleft%28x-1%5Cright%29%2B%5Clog%20_%7B10%7D%5Cleft%28x-1%5Cright%29%3D1-%5Clog%20_%7B10%7D%5Cleft%286%5Cright%29%2B%5Clog%20_%7B10%7D%5Cleft%28x-1%5Cright%29%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%28x%2B1%5Cright%29%3D1-%5Clog%20_%7B10%7D%5Cleft%286%5Cright%29%2B%5Clog%20_%7B10%7D%5Cleft%28x-1%5Cright%29%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%28x%2B1%5Cright%29%2B%5Clog%20_%7B10%7D%5Cleft%286%5Cright%29%3D1-%5Clog%20_%7B10%7D%5Cleft%286%5Cright%29%2B%5Clog%20_%7B10%7D%5Cleft%28x-1%5Cright%29%2B%5Clog%20_%7B10%7D%5Cleft%286%5Cright%29%5C%5C%5C%5Cx%3D4" /> - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - <img src="https://tex.z-dn.net/?f=4%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%3D2%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%2B%5Cfrac%7B%5Clog%20_%7B10%7D%5Cleft%288%5Cright%29%7D%7B3%7D%5C%5C%5C%5C4%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29-2%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%3D2%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%2B%5Cfrac%7B%5Clog%20_%7B10%7D%5Cleft%288%5Cright%29%7D%7B3%7D-2%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%5C%5C%5C%5C2%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%3D%5Cfrac%7B%5Clog%20_%7B10%7D%5Cleft%288%5Cright%29%7D%7B3%7D%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%28x%5Cright%29%3D%5Cfrac%7B%5Clog%20_%7B10%7D%5Cleft%282%5Cright%29%7D%7B2%7D%5C%5C%5C%5Cx%3D10%5E%7B%5Cfrac%7B%5Clog%20_%7B10%7D%5Cleft%282%5Cright%29%7D%7B2%7D%7D%5C%5C" /> \ \ \ \ \ x = 1.

4142 - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - <img src="https://tex.z-dn.net/?f=%5Clog%20_%7B10%7D%5Cleft%283x%5E2%2B5x%2B30%5Cright%29-%5Clog%20_%7B10%7D%5Cleft%283x%2B8%5Cright%29%3D1%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%283x%5E2%2B5x%2B30%5Cright%29%3D1%2B%5Clog%20_%7B10%7D%5Cleft%283x%2B8%5Cright%29%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%283x%5E2%2B5x%2B30%5Cright%29%3D%5Clog%20_%7B10%7D%5Cleft%2810%5Cright%29%2B%5Clog%20_%7B10%7D%5Cleft%283x%2B8%5Cright%29%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%283x%5E2%2B5x%2B30%5Cright%29%3D%5Clog%20_%7B10%7D%5Cleft%2810%5Cleft%283x%2B8%5Cright%29%5Cright%29%5C%5C%5C%5C%5Clog%20_%7B10%7D%5Cleft%283x%5E2%2B5x%2B30%5Cright%29%3D%5Clog%20_%7B10%7D%5Cleft%2810%5Cleft%283x%2B8%5Cright%29%5Cright%29%5C%5C%5C%5Cx%3D10%2C%5C%3Ax%3D-%5Cfrac%7B5%7D%7B3%7D" />Espero haberte ayudado, me ayudarías marcándo esta respuesta como "la mejor respuesta" ; v.