### Home > APCALC > Chapter 5 > Lesson 5.3.3 > Problem 5-136

5-136.

Write the equation of the inverse function, *f *^{–1}(*x*), for each of the following functions. Homework Help ✎

Start by solving for

*x*.*y*= log_{3}*x**x*= 3^{y}

Now 'rename the*x*and*y*'.*y*= 6^{2}^{x}

2*x*= log_{6}*y**f*^{−1}(*x*) = ____________*f*^{−1}(*x*) = 3^{x}Notice that

*y*=*π²*is a horizontal line. What is the inverse of a horizontal line?Refer to hint in part (b).

Before you convert to a logarithm, subtract

*k*from both sides.