Advertisements
Advertisements
Question
Find x.
23x = 82x + 1
Sum
Advertisements
Solution
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
shaalaa.com
Is there an error in this question or solution?
Chapter 8: Exponents and Powers - Exercise [Page 274]
APPEARS IN
RELATED QUESTIONS
The value of `(-2/3)^4` is equal to ______.
If x be any non-zero integer, then x–1 is equal to ______.
For any two non-zero rational numbers x and y, x4 ÷ y4 is equal to ______.
50 = ______.
329.25 = 3 × 102 + 2 × 101 + 9 × 100 + 2 × 10–1 + 5 × 10–2
ap × bq = (ab)pq
Solve the following:
100–10
Supply the missing information for diagram.
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.
Mass of Mars is 6.42 × 1029 kg and mass of the Sun is 1.99 × 1030 kg. What is the total mass?
