How do you solve #2^x= 4^(x+1)#?

Question

↳Redirected from "What is the difference between a quantitative and a qualitative measurement?"

2056 views around the world

You can reuse this answer
Creative Commons License

Answer 1 · 2015-09-09T06:25:43

#color(blue)(x = -2#

#2^x = 4^(x+1)#

We know that #4 = 2^2#

So,
#2^x = 2^(2(x+1))#

#2^color(blue)(x) = 2^color(blue)((2x +2 )#

At this stage as the bases are equal we equate the exponents to find #x#

#x = 2x+2#
#-2 = 2x-x#
#color(blue)(x = -2#