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If log10 2 = 0.3010, log2 10 is equal to _____?
  1. 1000/301
  2. 699/301
  3. 0.3010
  4. None of these
Explanation

From equation (1), we can write:

2 = 10^0.3010

Now, take log base 2 on both sides:

log2 2 = log2 (10^0.3010)

1 = 0.3010 log2 10

Now, divide both sides by 0.3010:

log2 10 = 1/0.3010

= 100/30.10

= 1000/301

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