Question

The inverse of y = $5^{\log x}$ is:

• A. x = $5^{\log y}$
• B. x = $y^{\log 5}$
• C. x = $y^{\frac{1}{\log 5}}$
• D. x = $5^{\frac{1}{\log y}}$

Answer 1

Answer: (A)

1

Answer 2

To find the inverse of the function $y = 5^{\log x}$, we swap the variables $x$ and $y$ in the equation.

The original equation is $y = 5^{\log x}$.

Swapping $x$ and $y$, we get $x = 5^{\log y}$.

This equation represents the inverse relationship.