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

Answer:

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

Step-by-step 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