Advertisements
Advertisements
प्रश्न
Solve for x:
`9 xx 3^x = (27)^(2x - 5)`
बेरीज
Advertisements
उत्तर
9x 3x = (27)2x- 5
⇒ 32 x 3x = (33)2x- 5
⇒ 32 x 3x = `3^(3x^((2x - 5))`
⇒ 32+x = 36x-15
⇒ 1 = `(3^(6x - 15))/(3^(2 + x))`
⇒ 1 = `3^(6x - 15 - 2 - x)`
⇒ 30 = 35x-17
⇒ 5x 17 = 0
⇒ x = `(17)/(5)`.
shaalaa.com
Solving Exponential Equations
या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
APPEARS IN
संबंधित प्रश्न
Find x, if : `sqrt( 2^( x + 3 )) = 16`
If ax = by = cz and b2 = ac, prove that: y = `[2xz]/[x + z]`
If ax = b, by = c and cz = a, prove that : xyz = 1.
Solve : 3x-1× 52y-3 = 225.
Evaluate the following:
`(12^2 xx 75^-2 xx 35 xx 400)/(48^2 xx 15^-3 xx 525)`
Evaluate the following:
`(1 - 15/64)^(-1/2)`
Evaluate the following:
`9^(5/2) - 3 xx 5^0 - (1/81)^((-1)/2)`
If ax = by = cz and b2 = ac, prove that y = `(2xz)/(z + x)`
Find the value of (8p)p if 9p + 2 - 9p = 240.
If 2x = 3y = 12z ; show that `(1)/z = (1)/y + (2)/x`.
