Answered

Westonci.ca is your go-to source for answers, with a community ready to provide accurate and timely information. Join our platform to get reliable answers to your questions from a knowledgeable community of experts. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

find the inverse log5(x-10)

Sagot :

ANSWER:

[tex]f^{-1}(x)=5^x+10[/tex]

STEP-BY-STEP EXPLANATION:

We have the following function:

[tex]y=\log_5\left(x-10\right)[/tex]

To calculate the inverse, we must replace y by x and also x by y, and solve for y, like this:

[tex]\begin{gathered} x=\log _5\left(y-10\right) \\ \\ 5^x=y-10 \\ \\ y=5^x+10 \\ \\ f^{-1}(x)=5^x+10 \end{gathered}[/tex]

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Get the answers you need at Westonci.ca. Stay informed with our latest expert advice.