Question

If 3^x - 3^(x-1) = 18, then the value of x^x is

Answer 1

Answer:

27

Step-by-step explanation:

Given,

3ˣ - 3ˣ⁻¹ = 18

Taking 3ˣ⁻¹ as common,

3ˣ⁻¹(3¹ - 1) = 18

or 3ˣ⁻¹ (2) = 18

or 3ˣ⁻¹ = 9

or 3ˣ⁻¹ = 3²

or x - 1 = 2

or x = 3

Thus xˣ = 3³  = 27

Answer is 27

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