COMEDK2021MathematicsBasics of Mathematics
8^ 3 ₈ 5 is equal to
Options
- A₈ 25
- B120
- C125
- 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