Question

Solve 4^2x−1 ⩽ 32. then x is from....

Answer 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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Answer 2

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