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Step-2

Title: Find the variable value

Grade: 7-b Lesson: S3-L9

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

Lesson Steps

Steps	Problem	Solution
1	Find the value of '\$x\$'	\$ 2^(4x+6) = 2^2 \$
2	If Bases are equal powers also equal	\$ 4x+6 = 2 \$
3	Move constants to the right side	\$ 4x = 2 - 6 \$ \$ 4x = -4 \$
4	Dividing on both sides by '\$4\$' of the equality	\$ (\cancel(4)x)/\cancel(4) = (-\cancel(4)^1)/\cancel(4)^1 \$
5	After Cancellation	\$ x = -1 \$
6	Answer	B = \$ x = -1 \$

Steps

Problem

Solution

Find the value of '\$x\$'

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

If Bases are equal powers also equal

\$ 4x+6 = 2 \$

Move constants to the right side

\$ 4x = 2 - 6 \$

\$ 4x = -4 \$

Dividing on both sides by '\$4\$' of the equality

\$ (\cancel(4)x)/\cancel(4) = (-\cancel(4)^1)/\cancel(4)^1 \$

After Cancellation

\$ x = -1 \$

Answer

B = \$ x = -1 \$