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Raising 16 to a power that is 3 times some number is the same as raising 32 to twice the sum of the number and 2. Which exponential equation represents this situation?

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Answer:


16^(3x)= 32^(2(x+2))exponential equation represents this situation

Explanation:

Let the number be x

Raising 16 to a power that is 3 times some number=
16^(3x)

Raising 32 to twice the sum of the number and 2 =
32^(2(x+2))

We are given that Raising 16 to a power that is 3 times some number is the same as raising 32 to twice the sum of the number and 2.

Equation:
16^(3x)= 32^(2(x+2))

So, The required equation is
16^(3x)= 32^(2(x+2))

Hence
16^(3x)= 32^(2(x+2))exponential equation represents this situation

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