Question

27 ke power 2x- 1 is equal to 243 power 3 find the ​

Answer 1

The value of x is 3

Step-by-step explanation:

The given equation is

27²ˣ⁻¹ = 243³

or, (3³)²ˣ⁻¹ = (3⁵)³

or, 3⁶ˣ⁻³ = 3¹⁵

Equating from both sides, we get

6x - 3 = 15

or, 6x = 15 + 3

or, 6x = 18

or, x = 3

Therefore the value of x is 3.

Some rules to remember:

1. aᵐ . aⁿ = aᵐ⁺ⁿ (a ≠ 0)

2. aᵐ/aⁿ = aᵐ⁻ⁿ

3. (aᵐ)ⁿ = aᵐⁿ

4. (ab)ᵐ = aᵐ . aⁿ

5. (a/b)ᵐ = aᵐ/bᵐ (a, b ≠ 0)

Questions to solve:

1. Solve 3ˣ + 3ʸ = 4, 3⁻ˣ + 3⁻ʸ = 4/3

2. Solve 8ˣ . 4ʸ = 128, 9ˣ⁺ʸ = 27ˣʸ

Answer 2

Answer:

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