Question

The value of [3]+base11([5]+base11[6]) is​

Answer 1

Answer:

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Step-by-step explanation:

We have the following basic fact about logarithms to any positive base bb, including 11:

logbX2=2logbXlogb⁡X2=2logb⁡X

In fact it is uncommon to mix logarithms of different bases in a calculation, and so let’s just agree that the base is 11 (although the equation would apply to natural (base e) or common logarithms as well):

log(x+1)+log(x+1)=log((x+1)2)log⁡(x+1)+log⁡(x+1)=log⁡((x+1)2)

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Neil Gupta

, College freshman and math enthusiast

Answered February 5, 2017