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COMEDK2021MathematicsBasics of Mathematics

8^ 3 ₈ 5 is equal to

Options

  1. A₈ 25
  2. B120
  3. C125
  4. D₈ 15

Correct answer

C. 125

Step-by-step solution

Using the logarithmic property a^ _ a b = b , we rewrite the expression 8^ 3 ₈ 5 . Applying the power rule for logarithms, n _ a b = _ a (b^n) , we get: 3 ₈ 5 = ₈ (5^3) Substituting this back into the expression: 8^ ₈ (5^3) = 5^3 Calculating the value: 5^3 = 125 Answer: 125

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