Question

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

Answer 1

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

Explanation:

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