Advertisements
Advertisements
प्रश्न
If x = `3^(2/3) + 3^(1/3)`, prove that x3 - 9x - 12 = 0
बेरीज
Advertisements
उत्तर
x = `3^(2/3) + 3^(1/3)`
⇒ x3 = `3^2 + 3 + 3 xx 3^(2/3) xx 3^(1/3)(3^(2/3) + 3^(1/3))`
⇒ x3 = `9 + 3 + 3 xx 3^(2/3 + 1/3)(x)`
⇒ x3 = 12 + 9x
⇒ x3 - 9x - 12 = 0.
shaalaa.com
Solving Exponential Equations
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Find x, if : 42x = `1/32`
Find x, if : `(root(3)( 2/3))^( x - 1 ) = 27/8`
Solve : `(sqrt(3))^( x - 3 ) = ( root(4)(3))^( x + 1 )`
Solve for x : (a3x + 5)2. (ax)4 = a8x + 12
Solve for x:
`2^(3x + 3) = 2^(3x + 1) + 48`
Solve for x : 3(2x + 1) - 2x + 2 + 5 = 0
Solve for x:
3 x 7x = 7 x 3x
Solve for x:
22x+3 - 9 x 2x + 1 = 0
Solve for x:
22x + 2x +2 - 4 x 23 = 0
Find the value of (8p)p if 9p + 2 - 9p = 240.
