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Step-5

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^(3(2x+4))=4^(6x+15) \$
2	If Bases are equal powers also equal	\$2^(3(2x+4))=2^(2(6x+15))\$ \$ 3(2x+4) = 2(6x+15) \$ \$ 6x+12 = 12x+30\$
3	Move constants to the right side	\$ 12x-6x = -30 + 12 \$ \$ 6x = -18 \$ \$ x = \cancel(-18)^3/\cancel(6)^1 \$
4	After Cancellation	\$ x = -3 \$
5	Answer	A = \$ x = -3 \$

Steps

Problem

Solution

Find the value of '\$x\$'

\$ 2^(3(2x+4))=4^(6x+15) \$

If Bases are equal powers also equal

\$2^(3(2x+4))=2^(2(6x+15))\$

\$ 3(2x+4) = 2(6x+15) \$

\$ 6x+12 = 12x+30\$

Move constants to the right side

\$ 12x-6x = -30 + 12 \$
\$ 6x = -18 \$
\$ x = \cancel(-18)^3/\cancel(6)^1 \$

After Cancellation

\$ x = -3 \$

Answer

A = \$ x = -3 \$