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?

Question

asked Feb 28, 2021 34.6k views

1 Answer

Elsammak · Answer 1 · 2021-03-06T07:01:33+0000

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