Question

Solve for x: 16.4(x+2) – 16.2(x+1) +1 = 0.​

Answer 1

Answer:

#x=-4#

Explanation:

#16*4^(x+2) - 16*2^(x+1) + 1 = #

#=16^2cdot4^x-2cdot16cdot2^x+1=#

#=16^2cdot(2^x)^2-32cdot 2^x+1=0#

Making #y=2^x#

#16^2y^2-32y+1=0# solving for #y# we have

#y = 1/16=2^x=2^(-4)# then #x=-4#