2)\[log_{5} (5^{\frac{1}{x}}+125)=log_{5} 6 + 1 + \frac{1}{2x}\]
3)\[log(3^{x}-2^{4-x})=2+ \frac{1}{4}log16 -\frac{3}{2}log4\]
4)\[log2 + log(4^{x-2}+9)=1+log(2^{x-2}+1)\]
5)\[x^{logx}=1000x^{2}\]
6)\[\sqrt{x^{log\sqrt{x}}}=10\]
7)\[x^{log_{\sqrt{x}}2x}=4\]
8)\[2.9^{log_{2}\frac{x}{2}}=x^{log_{2}6}-x^{2}\]