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Assertion (A) : Logarithms are used to change a multiplication or division problem into a simpler addition and subtraction problem.

Reason (R) : The Laplace transform enables the circuit analyst to convert the set of integro differential equations describing a circuit to the complex frequency domain.

  • A.Both (A) and (R) are true and (R) is the correct explanation of (A).
  • B.Both (A) and (R) are true, but (R) is not the correct explanation of (A).
  • C.(A) is true, but (R) is false.
  • D.(A) is false, but (R) is true.

Answer: B

Both statements are true but the reason does not explain the assertion, which is option (B). Logarithms turn multiplication and division into addition and subtraction, and the Laplace transform turns the integro-differential equations of a circuit into algebraic equations in the complex frequency domain. The two are separate facts about different mathematical tools, and the Laplace transform is not the reason that logarithms simplify arithmetic. So (A) is wrong, and (C) and (D) deny a true statement.

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