Lesson Example Discussion Quiz: Class Homework |
Example |
Title: Determine the x value of the exponent |
Grade: 6-a Lesson: S3-L8 |
Explanation: The best way to understand algebra is by looking at some examples. Take turns and read each example for easy understanding. |
Examples:
1. Find the value of h in \$9^(h - 3) = 81^(1 - 3h)\$.
Step 1a
|
|
Given. |
|
Explanation: Given \$9^(h - 3) = 81^(1 - 3h)\$ has different bases 9 and 81. |
|
Step 1b
|
|
Convert the differnt bases to same base. |
|
Explanation:
\$=> 9^(h - 3) = 81^(1 - 3h)\$ \$=> 9^(h - 3) = (9^9)^(1 - 3h)\$ \$=> 9^(h - 3) = (9)^(9(1 - 3h))\$ \$=> 9^(h - 3) = (9)^(9 - 27h))\$ |
|
Step 1c
|
|
Solve for h |
|
Explanation: If bases are equal then powers are also equal. \$9^(h - 3) = 9^(9 - 27h)\$ \$=> h - 3 = 9 - 27h\$ \$=> h + 27h = 9 + 3\$ \$=> 28h = 12\$ \$=> h = 12/28\$ \$=> h = cancel12^3/cancel28^7\$ \$=> h = 3/7\$ |
|
Copyright © 2020-2022 saibook.us Contact: info@saibook.us Version: 1.5 Built: 20-March-2023 08:10 PM EST