SaiBook.us Algebra

Home Course Section

Register Enroll

Step-5

Title: Determine the x value of the exponent

Grade: 6-a Lesson: S3-L8

Explanation: Hello Students, time to practice and review the steps for the problem.

Lesson Steps

Step	Type	Explanation	Answer
1	Problem	Find the value of 'x'	\$ 32^(x-6) = 16^(x+2) \$
2	Formula:	Equating bases on both sides	\$ 2^(5(x-6)) = 2^(4(x+2)) \$
3	Step	On both the sides, bases are equal.so their powers are also eqaul	5(x-6) = 4(x+2)
4	Step	After multiplication we get	5x - 30 = 4x + 8
5	Step	Move variables to the left side and constants to the right side	5x - 4x = 8 - 30
6	Step	After adding we get	x = -22
7		Answer	B

Step

Type

Explanation

Answer

Problem

Find the value of 'x'

\$ 32^(x-6) = 16^(x+2) \$

Formula:

Equating bases on both sides

\$ 2^(5(x-6)) = 2^(4(x+2)) \$

Step

On both the sides, bases are equal.so their powers are also eqaul

5(x-6) = 4(x+2)

Step

After multiplication we get

5x - 30 = 4x + 8

Step

Move variables to the left side and constants to the right side

5x - 4x = 8 - 30

Step

After adding we get

x = -22

Answer