Question

Find the value of x if 2^5x÷2^x=5 root2^20

Answer 1

Correct Question :-

Find the value of x if 2⁵ˣ/2ˣ = ⁵√2²⁰.

Answer :-

Value of x is 1.

Explanation :-

2⁵ˣ/2ˣ = ⁵√2²⁰

⇒ 2⁵ˣ⁻ˣ = ⁵√2²⁰

[ ∵ aᵐ/aⁿ = aᵐ⁻ⁿ]

⇒ 2⁴ˣ = (2²⁰)^{1/5}

[ By writing it in radicand form]

⇒ 2⁴ˣ = 2^(20 * 1/5)

[ ∵ (aᵐ)ⁿ = aᵐⁿ]

⇒ 2⁴ˣ = 2^(20/5)

⇒ 2⁴ˣ = 2⁴

⇒ 4x = 4

[ ∵ aᵐ = aⁿ then m = n]

⇒ x = 4/4

⇒ x = 1

∴ the value of x is 1.

Answer 2

Answer:

Step-by-step explanation:

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