jsichalwe1990
Answered

Welcome to Westonci.ca, your ultimate destination for finding answers to a wide range of questions from experts. Get immediate and reliable solutions to your questions from a knowledgeable community of professionals on our platform. Connect with a community of professionals ready to help you find accurate solutions to your questions quickly and efficiently.

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

We hope our answers were helpful. Return anytime for more information and answers to any other questions you may have. Thank you for choosing our platform. We're dedicated to providing the best answers for all your questions. Visit us again. We're glad you chose Westonci.ca. Revisit us for updated answers from our knowledgeable team.