Advertisements
Advertisements
प्रश्न
Find x.
23x = 82x + 1
Advertisements
उत्तर
We have, 23x = 82x + 1
⇒ 23x = (23)2x + 1
⇒ 23x = (2)6x + 3 ...[∵ (am)n = (a)m × n]
On comparing the power of 2, we get
3x = 6x + 3
⇒ –3 = 3x
⇒ x = –1
APPEARS IN
संबंधित प्रश्न
Simplify and write the answer in the exponential form.
The value of (7–1 – 8–1) –1 – (3–1 – 4–1) –1 is ______.
On multiplying ______ by 2–5 we get 25.
The value of [2–1 × 3–1]–1 is ______.
An electron’s mass is approximately 9.1093826 × 10–31 kilograms. What is this mass in grams?
What happens when 1 cm worms are sent through these hook-ups?

If possible, find a hook-up of prime base number machine that will do the same work as the given stretching machine. Do not use (× 1) machines.

The diameter of the Sun is 1.4 × 109 m and the diameter of the Earth is 1.2756 × 107 m. Compare their diameters by division.
Simplify:
`[(1/2)^2 - (1/4)^3]^-1 xx 2^-3`
Simplify:
`((3^-2)^2 xx (5^2)^-3 xx (t^-3)^2)/((3^-2)^5 xx (5^3)^-2 xx (t^-4)^3`
