ab = ba, a = 2b, a ≠ 0 হলে, (a, b) = ?

a^b = b^a, a = 2b, a ≠ 0 হলে, (a, b) = ?

A 4, 8

B 4, 2

C 2, 4

D 8, 4

Solution

Correct Answer: Option B

a^b = b^aor, Ina^b = In b^a [In নিয়ে]

or, bIna = aInb

or, Ina = (a/b)Inb

or, Ina = Inb^(a/b)

or, a = b^(a/b)

or, a = b^(2b/b)

or, a = b²

or, b²= 2b [a=2b]

or, b(b - 2) = 0

or, b = 2

∴ a = 2b
= 2 x 2
= 4

∴ (a,b)=(4,2)

Solution

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