Advertisements
Advertisements
प्रश्न
If 3x + 1 = 9x - 3 , find the value of 21 + x.
बेरीज
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
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Solve for x : 22x+1 = 8
Solve for x : 25x-1 = 4 23x + 1
Solve : 8 x 22x + 4 x 2x + 1 = 1 + 2x
If 4x + 3 = 112 + 8 × 4x, find the value of (18x)3x.
Solve : 3x-1× 52y-3 = 225.
Evaluate the following:
`(8/27)^((-2)/3) - (1/3)^-2 - 7^0`
Solve for x:
`sqrt((3/5)^(x + 3)) = (27^-1)/(125^-1)`
If `root(x)("a") = root(y)("b") = root(z)("c")` and abc = 1, prove that x + y + z = 0
Find the value of 'a' and 'b' if:
`(sqrt243)^"a" ÷ 3^("b" + 1)` = 1 and `27^"b" - 81^(4 -"a"/2)` = 0
Prove the following:
(xa)b-c x (xb)c-a x (xc)a-b = 1
