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ExamsJEE MainMaths

Without a calculator, decide which of these numbers is the largest: 2³⁶, 3³⁰, 5¹⁸, 6¹², 7⁸, 8⁴.

  1. 2³⁶
  2. 3³⁰
  3. 5¹⁸
  4. 6¹²

Correct answer: 3³⁰

Solution

Take logs (base 10) of each: value of (exponent)*(log base). The number with the greatest product is largest.

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