Por favor me podrian ayudar con esto ejercicios?

Tienes,

<img src="https://tex.z-dn.net/?f=%5Csqrt%7B%5Clog_%7B2%7D%7Bx%5E%7B4%7D%7D%7D%2B4%5Clog_%7B2%7D%7B%5Cleft%28%5Csqrt%5B4%5D%7B%5Cdfrac%7B2%7D%7Bx%7D%7D%5Cright%29%7D%3D2%5C%5C%5Csqrt%7B4%5Clog_%7B2%7Dx%7D%2B4%5Clog_%7B2%7D%5Cleft%28%5Cdfrac%7B2%7D%7Bx%7D%5Cright%29%5E%7B1%2F4%7D%3D2%5C%5C2%5Csqrt%7B%5Clog_%7B2%7D%7Bx%7D%7D%2B%5Cdfrac%7B4%7D%7B4%7D%5Clog_%7B2%7D%7B%5Cdfrac%7B2%7D%7Bx%7D%7D%3D2%5C%5C2%5Csqrt%7B%5Clog_%7B2%7D%7Bx%7D%7D%2B%5Clog_%7B2%7D%7B2%7D-%5Clog_%7B2%7D%7Bx%7D%3D2%5C%5C2%5Csqrt%7B%5Clog_%7B2%7D%7Bx%7D%7D%2B1-%5Clog_%7B2%7D%7Bx%7D%3D2%5C%5C2%5Csqrt%7B%5Clog_%7B2%7D%7Bx%7D%7D-%5Clog_%7B2%7D%7Bx%7D%3D1%5C%5C%5Clog_%7B2%7D%7Bx%7D%3Da%2C%5C%5C%5C%5C2%5Csqrt%7Ba%7D-a%3D1%5C%5C2%5Csqrt%7Ba%7D%3D1%2Ba%5C%5C4a%3D%281%2Ba%29%5E2%5C%5C4a%3D1%2B2a%2Ba%5E%7B2%7D%5C%5Ca%5E%7B2%7D-2a%2B1%3D0%5C%5C%28a-1%29%28a-1%29%3D0%5C%5Ca%3D1%5C%5C%5Clog_%7B2%7D%7Bx%7D%3D1%5Cequiv2%5E%7B1%7D%3Dx%5Crightarrow%20x%3D2" />

para el siguiente,

<img src="https://tex.z-dn.net/?f=%5Clog%7Bx%5E%7B2%7D%7D%3D%5B%5Clog%28x%29%5D%5E%7B2%7D%5C%5C2%5Clog%7Bx%7D-%5B%5Clog%7Bx%7D%5D%5E%7B2%7D%3D0%5C%5C%5Clog%7Bx%7D%3Da%2C%5C%5C2a-a%5E%7B2%7D%3D0%5C%5Ca%282-a%29%3D0%5C%5Ca%3D0%5Chspace%7B5mm%7Da%3D2%5C%5C%5Clog%7Bx%7D%3D0%5Chspace%7B5mm%7D%5Clog%7Bx%7D%3D2%5C%5Cx%3D1%5Chspace%7B5mm%7Dx%3D100" />.