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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'	\$ 4^(x+2) = 8^(3x+5) \$
2	Formula:	Equating bases on both sides	\$ 2^(2(x+2)) = 2^(3(3x+5)) \$
3	Step	On both the sides, bases are equal.so their powers are also eqaul	\$ 2(x+2) = 3(3x+5) \$
4	Step	After multiplication we get	2x + 4 = 9x + 15
5	Step	Move variables to the left side and constants to the right side	2x - 9x = 15 - 4
6	Step	After adding we get	-7x = 11
7	Step	Move "-7" to the denominator on the right side	\$x = -11/7\$
8		Answer	D

Step

Type

Explanation

Answer

Problem

Find the value of 'x'

\$ 4^(x+2) = 8^(3x+5) \$

Formula:

Equating bases on both sides

\$ 2^(2(x+2)) = 2^(3(3x+5)) \$

Step

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

\$ 2(x+2) = 3(3x+5) \$

Step

After multiplication we get

2x + 4 = 9x + 15

Step

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

2x - 9x = 15 - 4

Step

After adding we get

-7x = 11

Step

Move "-7" to the denominator on the right side

\$x = -11/7\$

Answer