Answered

At Westonci.ca, we connect you with the answers you need, thanks to our active and informed community. Our platform provides a seamless experience for finding reliable answers from a knowledgeable network of professionals. Our platform offers a seamless experience for finding reliable answers from a network of knowledgeable professionals.

how do I find the inverse of y=log⬇1/4 x^5

Sagot :

konrad509
[tex]f(x)=\log_{\tfrac{1}{4}}x^5\\ y=\log_{\tfrac{1}{4}}x^5\\ \left(\dfrac{1}{4}\right)^y=x^5\\ x=\left(\left(\dfrac{1}{4}\right)^y\right)^{\dfrac{1}{5}}\\ x=\left(\dfrac{1}{4}\right)^{\dfrac{y}{5}}\\x=\left(2^{-2}\right)^{\dfrac{y}{5}}\\x=2^{-\tfrac{2y}{5}}\\ f^{-1}(x)=2^{-\tfrac{2x}{5}}[/tex]


Visit us again for up-to-date and reliable answers. We're always ready to assist you with your informational needs. Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thank you for visiting Westonci.ca, your go-to source for reliable answers. Come back soon for more expert insights.