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

1 Answer
Feb 19, 2018

#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#