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Step-1

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'	\$2^(3x+1) = 2^(5x+2) \$
2	Formula:	On both the sides, bases are equal.so their powers are also eqaul	\$ 3x+1 = 5x+2 \$
3	Step	Move variables to the left side and constants to the right side	\$ 3x-5x = 2-1 \$
4	Step	After adding we get	-2x = 1
5	Step	Move "-2" to the denominator on the right side	\$ x = -1/2 \$
6		Answer	B

Step

Type

Explanation

Answer

Problem

Find the value of 'x'

\$2^(3x+1) = 2^(5x+2) \$

Formula:

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

\$ 3x+1 = 5x+2 \$

Step

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

\$ 3x-5x = 2-1 \$

Step

After adding we get

-2x = 1

Step

Move "-2" to the denominator on the right side

\$ x = -1/2 \$

Answer