CPM Homework Help : PC3 Problem 7-41

CPM Homework Banner

Home > PC3 > Chapter 7 > Lesson 7.1.3 > Problem 7-41

7-41.

Rewrite $f(x)=27(9)^{x/2-1}$ in $f(x)=ab^x$ form. Show all of your steps.

Step 1:

Change the $27$ and the $9$ to numbers with base $3$ .

Answer 1:

$f(x)=3^{3}(3^2)^{\left(x/2-1\right)}$

Step 2:

Use the power to a power property of exponents.

Answer 2:

$f(x)=3^3(3)^{x-2}$

Step 3:

Use the multiplication property of exponents.

Answer 3:

$f(x)=(3)^{3+x−2}$

Step 4:

Simplify.

Answer 4:

$f(x)=(3)^{x+1}$

Step 5:

Put in the $ab^x$ form.

Answer:

$f(x)=3(3)^x$

© 2022 CPM Educational Program. All rights reserved.