Advertisements
Advertisements
प्रश्न
If a = `2^(1/3) - 2^((-1)/3)`, prove that 2a3 + 6a = 3
बेरीज
Advertisements
उत्तर
a = `2^(1/3) - 2^((-1)/3)`
⇒ a = `2^(1/3) - (1)/(2^(1/3)`
⇒ a3 = `(2^(1/3) - 1/(2^(1/3)))^3`
= `2 - 1/2 - 3(2^(1/3) - 1/(2^(1/3)))`
⇒ a3 = `(4 - 1)/(2) - 3"a"`
⇒ a3 = `(3)/(2) - 3"a"`
⇒ 2a3 + 6a = 3.
shaalaa.com
Solving Exponential Equations
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Solve for x : (49)x + 4 = 72 x (343)x + 1
Find x, if : `sqrt( 2^( x + 3 )) = 16`
Solve for x : 9x+2 = 720 + 9x
Find the values of m and n if :
`4^(2m) = ( root(3)(16))^(-6/n) = (sqrt8)^2`
Solve : 3x-1× 52y-3 = 225.
If 3x + 1 = 9x - 3 , find the value of 21 + x.
Evaluate the following:
`(2^3 xx 3^5 xx 24^2)/(12^2 xx 18^3 xx 27)`
Solve for x:
p3 x p-2 = px
Find the value of (8p)p if 9p + 2 - 9p = 240.
If ax = by = cz and abc = 1, show that
`(1)/x + (1)/y + (1)/z` = 0.
