![(\frac{1}{4})^{-4}=256\\ 4^4=256\\ 256=256\\ (\frac{1}{4})^{-4}=256\\ 4^4=256\\ 256=256\\](https://tex.z-dn.net/?f=%28%5Cfrac%7B1%7D%7B4%7D%29%5E%7B-4%7D%3D256%5C%5C+4%5E4%3D256%5C%5C+256%3D256%5C%5C)
![log_{\frac{1}{6}}36=log_{6^{-1}}6^2=-2log_66=-2 log_{\frac{1}{6}}36=log_{6^{-1}}6^2=-2log_66=-2](https://tex.z-dn.net/?f=log_%7B%5Cfrac%7B1%7D%7B6%7D%7D36%3Dlog_%7B6%5E%7B-1%7D%7D6%5E2%3D-2log_66%3D-2)
0\\x>-1" alt="log_5(x+1)=-1\\ log_5(x+1)=log_55^{-1}\\ x+1=0.2\\x=-0.8\\x+1>0\\x>-1" align="absmiddle" class="latex-formula">
0;x\neq1\\ log_x0.0016=log_xx^4\\x^4=0.0016\\x=0.2" alt="log_x0.0016=4\\ x>0;x\neq1\\ log_x0.0016=log_xx^4\\x^4=0.0016\\x=0.2" align="absmiddle" class="latex-formula">
![100a^3 \sqrt[3]b\sqrt{\sqrt c}=100a^3b^{\frac{1}{3}}c^{\frac{1}{4}} 100a^3 \sqrt[3]b\sqrt{\sqrt c}=100a^3b^{\frac{1}{3}}c^{\frac{1}{4}}](https://tex.z-dn.net/?f=100a%5E3+%5Csqrt%5B3%5Db%5Csqrt%7B%5Csqrt+c%7D%3D100a%5E3b%5E%7B%5Cfrac%7B1%7D%7B3%7D%7Dc%5E%7B%5Cfrac%7B1%7D%7B4%7D%7D)