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\(\text{Write as a logarithm: }\)\(1024={4}^{5}\)
\(\text{Write as a logarithm: }\)\(625={5}^{4}\)
\(\text{Write as a logarithm: }\)\(81={3}^{4}\)
\(\text{Write as a logarithm: }\)\(16={4}^{2}\)
\(\text{Write as a logarithm: }\)\(\frac{1}{16}={2}^{-4}\)
\(\text{Write as a logarithm: }\)\(\frac{1}{27}={3}^{-3}\)
\(\text{Write as a logarithm: }\)\(\frac{1}{125}={5}^{-3}\)
\(\text{Write as a logarithm: }\)\(\frac{1}{625}={5}^{-4}\)
\(\text{Write as a logarithm: }\)\(4={8}^{\frac{2}{3}}\)
\(\text{Write as a logarithm: }\)\(3={9}^{\frac{1}{2}}\)
\(\text{Write as a logarithm: }\)\(4={8}^{-\frac{2}{3}}\)
\(\text{Write as a logarithm: }\)\(2={4}^{-\frac{1}{2}}\)
\(\text{Write in index notation: }\)\(3={\mathrm{log}}_{2}8\)
\(\text{Write in index notation: }\)\(4={\mathrm{log}}_{2}16\)
\(\text{Write in index notation: }\)\(4={\mathrm{log}}_{4}256\)
\(\text{Write in index notation: }\)\(5={\mathrm{log}}_{4}1024\)
\(\text{Write in index notation: }\)\(-2={\mathrm{log}}_{3}\frac{1}{9}\)
\(\text{Write in index notation: }\)\(-5={\mathrm{log}}_{4}\frac{1}{1024}\)
\(\text{Write in index notation: }\)\(-3={\mathrm{log}}_{3}\frac{1}{27}\)
\(\text{Write in index notation: }\)\(-2={\mathrm{log}}_{3}\frac{1}{9}\)
\(\text{Write in index notation: }\)\(\frac{1}{3}={\mathrm{log}}_{8}2\)
\(\text{Write in index notation: }\)\(\frac{2}{3}={\mathrm{log}}_{8}4\)
\(\text{Write in index notation: }\)\(-\frac{1}{2}={\mathrm{log}}_{4}2\)
\(\text{Write in index notation: }\)\(-\frac{1}{3}={\mathrm{log}}_{8}2\)
\(\text{Write in index notation: }\)\(-\frac{1}{2}={\mathrm{log}}_{9}3\)