SOLUTION: Without using tables, show that log base 10 of 19 is approximately equal to (2log base 10 of 6 + 1).

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Question 1188332: Without using tables, show that log base 10 of 19 is approximately equal to (2log base 10 of 6 + 1).
Answer by ikleyn(52909) About Me  (Show Source):
You can put this solution on YOUR website!
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Without using tables, show that log base 10 of 19 is approximately equal to (2log base 10 of 6 + 1).
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The statement in your post is  FATALLY  INCORRECT. 

    log(19)      = 1.279  (with 3 decimals after the decimal point)


    2*log(6) + 1 = 2.556.


    They are not " approximately equal ", in common understanding of used words.

Solved and refuted.