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 }\frac{1}{y^7}) \\ \log_{4\text{ }}(\frac{x^6}{y^7}) \\ \log_{2^2}(\frac{x^6}{y^7}) \\ \frac{1}{2}\log_2(\frac{x^6}{y^7}) \end{gathered}$$\log_4(\frac{x^6}{y^7})$