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Step-3

Title: Find the variable value

Grade: 7-b Lesson: S3-L10

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

Lesson Steps

Steps	Problem	Solution
1	Find the value of '\$x\$'	\$ (1/2)^(x/2 + 5) = (1/2)^(((2x)/3)) \$
2	If Bases are equal powers also equal	\$ (x/2 + 5) = ((2x)/3) \$
3	Taking LCM as '\$2\$'	\$ (x + 10)/2 = (2x)/3 \$
4	By Cross Multiplication	\$3(x + 10) = 2(2x) \$ \$ 3x + 30 = 4x \$
5	Move variables to left side and constants to right side	\$ 3x - 4x = -30\$ \$ \cancel(-)x = \cancel(-)30 \$ \$ x = 30 \$
6	Answer	B = \$ x = 30 \$

Steps

Problem

Solution

Find the value of '\$x\$'

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

If Bases are equal powers also equal

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

Taking LCM as '\$2\$'

\$ (x + 10)/2 = (2x)/3 \$

By Cross Multiplication

\$3(x + 10) = 2(2x) \$

\$ 3x + 30 = 4x \$

Move variables to left side and constants to right side

\$ 3x - 4x = -30\$

\$ \cancel(-)x = \cancel(-)30 \$

\$ x = 30 \$

Answer

B = \$ x = 30 \$