4to powerx+4 to power -x =1 find x

Question

10th class 

Answer 1

if this is what you mean...

 

[4^(x+4)]^(-x)=1

[4^(-x²-4x)]=1

4 raised to the 0 power will give you 1

therefore -x²-4x=0

x²+4x=0

x(x+4)=0

x=0

x+4=0

x=-4