Having some trouble with exponential problems...

Ok, so say you've got e ^(2x)=e ^(x+1). How would you go about finding a value for x?

Alternatively, if you had 4^(-x)=2^(x+1) how would you find THAT x?

Any help with either or both of those problems would be extremely useful :)

Question

Having some trouble with exponential problems...

Ok, so say you've got e ^(2x)=e ^(x+1). How would you go about finding a value for x?

Alternatively, if you had 4^(-x)=2^(x+1) how would you find THAT x?

Any help with either or both of those problems would be extremely useful :)

anonymous · Answer

On taking log on the both sides of the Eqn $$e ^{2x}=e ^{x+1}   $$
 become 2x=x+1
Hence x=1 is the answer

anonymous · Answer

Apply same method for the other question