Advertisements
Advertisements
प्रश्न
If 3x + 1 = 9x - 3 , find the value of 21 + x.
योग
Advertisements
उत्तर
3x + 1 = 9x - 3
⇒ 3x x 3 = ( 32 )x - 3
⇒ 3x x 3 = `3^(2x)/3^6`
⇒ `3^6 xx 3 = 3^(2x)/3^x `
⇒ `3^7 = 3^x`
⇒ x = 7
⇒ `2^( 1 + x ) = 2^( 1 + 7 ) = 2^8 = 256`
shaalaa.com
Solving Exponential Equations
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Solve for x : 22x+1 = 8
Solve for x : 25x-1 = 4 23x + 1
Find x, if : `(root(3)( 2/3))^( x - 1 ) = 27/8`
Solve for x:
`(81)^(3/4) - (1/32)^(-2/5) + x(1/2)^(-1).2^0 = 27`
Solve for x:
`2^(3x + 3) = 2^(3x + 1) + 48`
If `((a^-1b^2 )/(a^2b^-4))^7 ÷ (( a^3b^-5)/(a^-2b^3))^-5 = a^x . b^y` , find x + y.
Solve for x:
22x- 1 − 9 x 2x − 2 + 1 = 0
Solve for x:
`sqrt((3/5)^(x + 3)) = (27^-1)/(125^-1)`
If 2x = 3y = 12z ; show that `(1)/z = (1)/y + (2)/x`.
Find the value of 'a' and 'b' if:
92a = `(root(3)(81))^(-6/"b") = (sqrt(27))^2`
