Advertisements
Advertisements
प्रश्न
Solve for x:
3 x 7x = 7 x 3x
बेरीज
Advertisements
उत्तर
3 x 7x = 7 x 3x
⇒ `(7^x)/(7) = (3^x)/(3)`
⇒ `7^(x - 1) = 3^(x - 1)` ......(Using am ÷ an = am-n)
⇒ 7x - 1 = 3x - 1 x 1
⇒ 7x - 1 = 3x - 1 x 70 ......(Using a0 = 1)
⇒ x - 1 = 0
⇒ x = 1.
shaalaa.com
Solving Exponential Equations
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Solve for x : 25x-1 = 4 23x + 1
Solve for x:
`3^(4x + 1) = (27)^(x + 1)`
Find x, if : `( sqrt(3/5))^( x + 1) = 125/27`
Solve : `(sqrt(3))^( x - 3 ) = ( root(4)(3))^( x + 1 )`
If 2x = 4y = 8z and `1/(2x) + 1/(4y) + 1/(8z) = 4` , find the value of x.
Evaluate the following:
`(27)^(2/3) xx 8^((-1)/6) ÷ 18^((-1)/2)`
Solve for x:
22x+1= 8
Solve for x:
`sqrt((8^0 + 2/3)` = (0.6)2-3x
Find the value of k in each of the following:
`root(4)root(3)(x^2)` = xk
Prove the following:
`sqrt(x^-1 y) · sqrt(y^-1 z) · sqrt(z^-1 x)` = 1
