Advertisements
Advertisements
Question
Find the value of (8p)p if 9p + 2 - 9p = 240.
Sum
Advertisements
Solution
9p+2 - 9p = 240
⇒ 9p (92 - 1) = 240
⇒ 9p (80) = 240
⇒ 9p = 3
⇒ 32p = 3
⇒ 2p = 1
⇒ p = `(1)/(2)`
(8p)p = (23p)p
= `(2^3 . 1/2)^(1/2)`
= `(2^(3-1 .))^(1/2)`
= `(2^2)^(1/2)`
= 2.
shaalaa.com
Solving Exponential Equations
Is there an error in this question or solution?
APPEARS IN
RELATED QUESTIONS
Find x, if : `( sqrt(3/5))^( x + 1) = 125/27`
Solve : 4x - 2 - 2x + 1 = 0
Solve : `[3^x]^2` : 3x = 9 : 1
Solve : 8 x 22x + 4 x 2x + 1 = 1 + 2x
Solve for x : 9x+2 = 720 + 9x
If 5-P = 4-q = 20r, show that : `1/p + 1/q + 1/r = 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:
`(12^2 xx 75^-2 xx 35 xx 400)/(48^2 xx 15^-3 xx 525)`
Evaluate the following:
`(8/27)^((-2)/3) - (1/3)^-2 - 7^0`
