Advertisements
Advertisements
प्रश्न
Find x, if : `sqrt( 2^( x + 3 )) = 16`
बेरीज
Advertisements
उत्तर
`sqrt( 2^( x + 3 )) = 16`
`( 2^( x + 3 ))^(1/2) = 2 xx 2 xx 2 xx 2`
⇒ `( 2 )^[(x + 3)/2] = 2^4`
We know that if bases are equal, the powers are equal.
⇒ `[ x + 3 ]/2 = 4`
⇒ x + 3 = 8
⇒ x = 8 - 3
⇒ x = 5
shaalaa.com
Solving Exponential Equations
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Find x, if : 42x = `1/32`
Solve for x : 9x+2 = 720 + 9x
Solve for x : (a3x + 5)2. (ax)4 = a8x + 12
If 3x + 1 = 9x - 3 , find the value of 21 + x.
Evaluate : `4/(216)^(-2/3) + 1/(256)^(-3/4) + 2/(243)^(-1/5)`
Evaluate the following:
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
Solve for x:
`9 xx 3^x = (27)^(2x - 5)`
Solve for x:
9x+4 = 32 x (27)x+1
If 2x = 3y = 12z ; show that `(1)/z = (1)/y + (2)/x`.
Prove the following:
`("a"^"m"/"a"^"n")^("m"+"n"+1) ·("a"^"n"/"a"^1)^("n" + 1-"m").("a"^1/"a"^"m")^(1+"m"-"n")`
