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Given log32≈0.631 and log37≈1.771, what is log314

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Answer:

the log to the base 3 of 14 is 2.402

Explanation:

You must find a way to indicate that 3 is the base; you cannot run this '3' together with 2, 7 or 14.

Example:

log to the base 3 of 2 = 0.631

log to the base 3 of 7 = 1.771

Note that 2 times 7 is 14. Thus, to obtain the log to the base 3 of 14, we must ADD the two logs shown above:

0.631

+1.771

----------

2.402

Thus, the log to the base 3 of 14 is 2.402.

Check: Does 3^2.402 = 14? YES

User Ngorld
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