Advertisements
Advertisements
प्रश्न
If `5^(3x - 1) ÷ 25 = 125`, find the value of x.
Advertisements
उत्तर
Given, `5^(3x - 1) ÷ 25 = 125`
∵ 25 = 5 × 5 = 52
And 125 = 5 × 5 × 5 = 53
∴ `5^(3x - 1) ÷ (5)^2 = (5)^3`
⇒ `(5)^(3x - 1 - 2) = 5^3` ...[∵ am ÷ an = (a)m – n]
⇒ `5^(3x - 3) = (5)^3`
On comparing both sides, we get
3x – 3 = 3
⇒ 3x = 6
⇒ x = 2
APPEARS IN
संबंधित प्रश्न
3–2 can be written as ______.
By multiplying `(5/3)^4` by ______ we get 54.
The value of [2–1 × 3–1]–1 is ______.
The value of [1–2 + 2–2 + 3–2 ] × 62 is ______.
`(-8/2)^0 = 0`
`x^m/y^m = (y/x)^-m`
Solve the following:
`(1/2)^-2 ÷ (1/2)^-3`
Find the value of x so that `(5/3)^-2 xx (5/3)^-14 = (5/3)^(8x)`
Use the properties of exponents to verify that statement is true.
`4^(n - 1) = 1/4(4)^n`
For hook-up, determine whether there is a single repeater machine that will do the same work. If so, describe or draw it.
