How to isolate x from y=a(1+x)^n ?

Question

Hi, it's an emergency exam is in 3 hours! How does one isolate the x from the following equation? y=a(1+x)^n the answer is x= [ (y/a)^(1/n) ] -1 , I don't know the steps to get there

Answer 1

y = a(1 + x)ⁿ

 

Divide both sides by a.

 

y/a = (1 + x)ⁿ

 

Take 1/n power of both sides.

 

(y/a)^1/n = 1 + x

 

Subtract 1 from both sides.

 

(y/a)^1/n - 1 = x

 

You are done.

 

 

Answer 2

y = a(1+x)ⁿ

divide both sides by a

 

y/a = (1 + x)ⁿ

Take nth root of both sides

 

ⁿ√(y/a) = 1 + x

Subtract 1 from both sides

 

ⁿ√(y/a) - 1 = x

 

Note that  ⁿ√(y/a) = (y/a)^1/n so

 

x = (y/a)^1/n - 1