0,\; a\ne 1,\; b>0\\\\5^{log_53}=3\\\\\\(\frac{1}{7})^{1+log_{\frac{1}{7}}2}=\frac{1}{7}\cdot (\frac{1}{7})^{log_{\frac{1}{7}}2}=\frac{1}{7}\cdot 2=\frac{2}{7}" alt="a^{log_{a}b}=b,\; a>0,\; a\ne 1,\; b>0\\\\5^{log_53}=3\\\\\\(\frac{1}{7})^{1+log_{\frac{1}{7}}2}=\frac{1}{7}\cdot (\frac{1}{7})^{log_{\frac{1}{7}}2}=\frac{1}{7}\cdot 2=\frac{2}{7}" align="absmiddle" class="latex-formula">