Math, asked by ayonijakatyayn, 8 months ago

Solve 4^2x−1 ⩽ 32. then x is from....

Answers

Answered by Anonymous
1

Answer:

7/4

Step-by-step explanation:

4^{2x-1}=32

=>(2^2)^{2x-1}=2^5

=>2^{4x-2}=2^5

=>4x-2=5

=>4x=7

=>x=7/4

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Answered by bunty053
1

Step-by-step explanation:

1. First of all do the factors of 4 as well as 32 on both the sides.

  • 2^2(2x-1) ≤ 2^5

2. Now simplify the left side.

  • 2^4x-2 ≤ 2^5

3. Base is same on both sides i.e. 2. So powers of 2 on both sides put to be equal.

  • 4x-2 = 5

4. Now, add 2 on both sides.

  • 4x-2+2 = 5+2
  • 4x = 7

5. Dividing by 4 on both sides.

  • 4x/4 ≤ 7/4
  • x = 7/4

This is the required answer –– x = 7/4

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