Question

Use the properties of logarithms to rewrite the following expression as a single logarithm.

Answer 1

`\begin{gathered} 6\text{ }\log_4x\text{ - 7 }\log_4y\text{ } \\ \log_4x^6\text{ + }\log_4y^(-7^) \\ \log_4(x^6y^(-7^)) \\ \log_4(x^6\text{ x }(1)/(y^7)) \\ \log_{4\text{ }}((x^6)/(y^7)) \\ \log_(2^2)((x^6)/(y^7)) \\ (1)/(2)\log_2((x^6)/(y^7)) \end{gathered}`
`\log_4((x^6)/(y^7))`