x এর মান কত হলে (3/5)3 × (3/5)- 6 = (3/5)2x

x এর মান কত হলে (3/5)³ × (3/5)^{- 6} = (3/5)^{2x - 1} হবে?

A 1

B - 1

C 2

D - 2

Solution

Correct Answer: Option B

(3/5)³ × (3/5)^{- 6} = (3/5)^{2x - 1}
⇒ (3/5)^{3 - 6} = (3/5)^{2x - 1}
⇒ (3/5)^{- 3} = (3/5)^{2x - 1}
⇒ - 3 = 2x - 1
⇒ 2x - 1 = - 3
⇒ 2x = - 3 + 1
⇒ 2x = - 2
⇒ x = - 1

Solution

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