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Step-1

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\$'	\$ 3^(3x-5) = 1/9 \$
2	Applying identity '\$ 1/a^m = a^(-m) \$'	\$ 3^(3x-5) = 1/3^2 \$ \$ 3^(3x-5) = 3^(-2) \$
3	If Bases are equal powers also equal	\$ 3x-5 = -2 \$
4	Move constants to the right side	\$ 3x = -2 + 5 \$ \$ 3x = 3 \$
5	Dividing on both sides by '\$3\$' of the equality	\$ (\cancel(3)x)/\cancel(3) = \cancel(3)/\cancel(3) \$
6	After Cancellation	\$ x = 1 \$
7	Answer	D = \$ x = 1 \$

Steps

Problem

Solution

Find the value of '\$x\$'

\$ 3^(3x-5) = 1/9 \$

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

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

\$ 3^(3x-5) = 3^(-2) \$

If Bases are equal powers also equal

\$ 3x-5 = -2 \$

Move constants to the right side

\$ 3x = -2 + 5 \$

\$ 3x = 3 \$

Dividing on both sides by '\$3\$' of the equality

\$ (\cancel(3)x)/\cancel(3) = \cancel(3)/\cancel(3) \$

After Cancellation

\$ x = 1 \$

Answer

D = \$ x = 1 \$