Answer:
[tex]16^{3x}= 32^{2(x+2)}[/tex]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=[tex]16^{3x}[/tex]
Raising 32 to twice the sum of the number and 2 =[tex]32^{2(x+2)}[/tex]
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:[tex]16^{3x}= 32^{2(x+2)}[/tex]
So, The required equation is[tex]16^{3x}= 32^{2(x+2)}[/tex]
Hence [tex]16^{3x}= 32^{2(x+2)}[/tex]exponential equation represents this situation
