Question:২২.সমাধান কর: `2^x + 2^(1 - x) = 3` 

Answer সমাধান: 
   `2^x + 2^(1 - x) = 3`

     বা, `2^x + (2^1)/(2^x) = 3`

     বা, `a + 2/a = 3`    [ `2^x = a` ধরে ]

     বা, `(a^2 + 2)/a = 3`

     বা, `a^2 + 2 = 3a`

     বা, `a^2 - 3a + 2 = 0`

     বা, `a^2 - 2a - a + 2 = 0`

     বা, `a(a - 2) - 1(a - 2) = 0`

     বা, `(a - 2)(a - 1)= 0`

     হয়,  `a - 2 = 0` অথবা, `a - 1 = 0`

     বা, `a = 2`         বা, `a = 1`

     বা, `2^x = 2^1`  বা, `2^x = 2^0`

    `:.  x = 1`         `:.  x = 0`;    
             [  `a > 0, a != 1` শর্তে `a^x = a^y` হলে `x = y` ]

     `:.`  নির্ণেয় সমাধান, `x = 0, 1` 

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