### Home > PC3 > Chapter 12 > Lesson 12.3.2 > Problem12-151

12-151.

Write the equation of each of the following exponential functions in the form $y = ab^x$.

1. $f(x) = \frac { 4 } { 3 }(3)^{2x+1}$

$f(x)=\frac{4}{3}(3)^{2x}(3)^1$

1. $g(x) = 64(4)^{0.5x - 2}$

$g(x)=64(4)^{0.5x}(4)^{-2}$

1. An exponential function that passes through the points $(4, 80)$ and $(6, 20)$.

Solve the following system of equations:
$80 = ab^{4}$
$20 = ab^{6}$