Advertisements
Advertisements
Question
Find the value of k in each of the following:
`root(4)root(3)(x^2)` = xk
Sum
Advertisements
Solution
`root(4)root(3)(x^2)` = xk
⇒ `{(x^2)^(1/3)}^(1/4)` = xk
⇒ `(x^2)^(1/12)` = xk
⇒ `x^(2/12)` = xk
⇒ `x^(1/6)` = xk
⇒ k = `(1)/(6)`.
shaalaa.com
Solving Exponential Equations
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Solve for x:
`2^(3x + 3) = 2^(3x + 1) + 48`
Solve for x : 3(2x + 1) - 2x + 2 + 5 = 0
Solve : 3x-1× 52y-3 = 225.
If 2x = 4y = 8z and `1/(2x) + 1/(4y) + 1/(8z) = 4` , find the value of x.
Evaluate the following:
`(4^3 xx 3^7 xx 5^6)/(5^8 xx 2^7 xx 3^3)`
Evaluate the following:
`16^(3/4) + 2(1/2)^-1 xx 3^0`
Solve for x:
22x+1= 8
Find the value of (8p)p if 9p + 2 - 9p = 240.
Prove the following:
`sqrt(x^-1 y) · sqrt(y^-1 z) · sqrt(z^-1 x)` = 1
Prove the following:
`(x^("p"("q"-"r")))/(x^("q"("p"-"r"))) ÷ (x^"q"/x^"p")^"r"` = 1
