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Step-3

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'	\$ 16^(x+5) = 4^(3x+2) \$
2	Formula:	Equating bases on both sides	\$4^(2(x+5)) = 4^(3x+2) \$
3	Step	On both the sides, bases are equal.so their powers are also eqaul	2(x + 5) = 3x + 2
4	Step	After multiplication we get	2x + 10 = 3x + 2
5	Step	Move variables to the left side and constants to the right side	2x - 3x = 2 - 10
6	Step	After adding we get	\$\cancel(-)x = \cancel(-)8 \$
7	Step	After cancellation we get	x = 8
8		Answer	A

Step

Type

Explanation

Answer

Problem

Find the value of 'x'

\$ 16^(x+5) = 4^(3x+2) \$

Formula:

Equating bases on both sides

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

Step

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

2(x + 5) = 3x + 2

Step

After multiplication we get

2x + 10 = 3x + 2

Step

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

2x - 3x = 2 - 10

Step

After adding we get

\$\cancel(-)x = \cancel(-)8 \$

Step

After cancellation we get

x = 8

Answer