Question

Enter the given equation in exponential format. log4/5 20x=12y​

Answer 1

Answer:  $\bold{(20x)^{\frac{1}{12}}=(\frac{4}{5})^y}$

Step-by-step explanation:

$log_{\frac{4}{5}}(20x)=12y\\\\\text{divide 12 from both sides:}\quad \frac{1}{12}log_{\frac{4}{5}}(20x)=y\\\\\text{condense log (coefficient converts to exponent):}\quad log_{\frac{4}{5}}(20x)^{\frac{1}{12}}=y\\\\\text{use log rules to convert log to exponential form:}\quad (20x)^{\frac{1}{12}}=(\frac{4}{5})^y$