Question

How would i work out 4^x*2^x=1 ?

Answer 1

`x=0`

Explanation:

`4^x * 2^x`

`color(white)("XXX")=2^(2x) * 2^x`

`color(white)("XXX")=2^(3x)`

Noting that `2^color(red)0 =1`

Then `2^(color(red)(3x))=1`

`color(white)("XXX")rarr color(red)(3x)=color(red)0`

`color(white)("XXX")rarr x=0`