Answer:
0 and 1.5850
Step-by-step explanation:
Given the expression
2^2x-4^(2^x)+3=0
Let P = 2^x
P² - 4P + 3 = 0
Factorize
P² -3P-P +3 = 0
P(P-3)-1(P-3) = 0
P-1 = 0 and P-3 = 0
P = 1 and 3
If P = 1
2^x = 1
log 2^x = log 1
xlog 2 =0
x = 0/log 2
x = 0
Also if P = 3
2^x = 3
x log 2 = log 3
x = log3/log 2
x = 0.4771/0.3010
x = 1.5850
Hence the positive value of x are 0 and 1.5850
