4x+41-x =4 হলে x=?

4^x+4^1-x =4 হলে x=?

A 3/4

B 1/3

C 1/2

D 1/5

Solution

Correct Answer: Option C

4^x + 4^1-x =4
or,4^x + 4/4^x=4
or,{(4^x)²+4}/4^x =4
or,(4^x)²+4=4.4^x
or,(4^x)² - 4.4^x+4=0
or,(4^x)² - 2.4^x.2 +2²=0
or,(4^x-2)²=0
or,4^x-2=0
or,4^x=2
or,(2²)^x=2
or,2^2x=2
or, 2x=1
∴ x=1/2

Solution

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