Advertisements
Advertisements
प्रश्न
Solve for x:
`sqrt((3/5)^(x + 3)) = (27^-1)/(125^-1)`
योग
उत्तर
`sqrt((3/5)^(x + 3)) = (27^-1)/(125^-1)`
⇒ `(3/5)^((x+3)xx(1/2)) = ((3^3)^-1)/((5^3)-1)`
⇒ `(3/5)^((x+3)/2) = (3/5)^-3`
⇒ `(x + 3)/(2)` = -3
⇒ x + 3 = -6
⇒ x = -9.
shaalaa.com
Solving Exponential Equations
क्या इस प्रश्न या उत्तर में कोई त्रुटि है?
APPEARS IN
संबंधित प्रश्न
Solve for x:
`3^(4x + 1) = (27)^(x + 1)`
Solve : `[3^x]^2` : 3x = 9 : 1
Solve : `(sqrt(3))^( x - 3 ) = ( root(4)(3))^( x + 1 )`
Evaluate : `4/(216)^(-2/3) + 1/(256)^(-3/4) + 2/(243)^(-1/5)`
Evaluate the following:
`(1 - 15/64)^(-1/2)`
Evaluate the following:
`(27)^(2/3) xx 8^((-1)/6) ÷ 18^((-1)/2)`
Evaluate the following:
`sqrt(1/4) + (0.01)^(-1/2) - (27)^(2/3)`
Solve for x:
22x+3 - 9 x 2x + 1 = 0
If a = `2^(1/3) - 2^((-1)/3)`, prove that 2a3 + 6a = 3
If ax = by = cz and abc = 1, show that
`(1)/x + (1)/y + (1)/z` = 0.