jsichalwe1990
Answered

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2^2x-4^(2^x)+3=0 find the positive value of x​

Sagot :

abidemiokin

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

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