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