Question

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?

Answer 1

`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