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Step-3

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\$'	\$ 5^(x + 10) = 1/5^(2/3) \$
2	Applying identity '\$ 1/a^m = a^(-m) \$'	\$ 5^(x + 10) = 5^(-2/3) \$
3	If Bases are equal powers also equal	\$ x + 10 = -2/3 \$
4	Move constants to the right side	\$ x = -2/3 - 10 \$
5	Taking LCM as \$3\$	\$ x = (-2-30)/3 \$
6	After simplification	\$ x = -32/3 \$
7	Answer	C = \$ x = -32/3 \$

Steps

Problem

Solution

Find the value of '\$x\$'

\$ 5^(x + 10) = 1/5^(2/3) \$

Applying identity '\$ 1/a^m = a^(-m) \$'

\$ 5^(x + 10) = 5^(-2/3) \$

If Bases are equal powers also equal

\$ x + 10 = -2/3 \$

Move constants to the right side

\$ x = -2/3 - 10 \$

Taking LCM as \$3\$

\$ x = (-2-30)/3 \$

After simplification

\$ x = -32/3 \$

Answer

C = \$ x = -32/3 \$