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25-10-2022
Mathematics

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Evaluate log2 10 using the change of base formula. Round your answer to the nearest thousandth.

Evaluate log2 10 using the change of base formula Round your answer to the nearest thousandth class=

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FrimyZ271075 FrimyZ271075

25-10-2022

Take into account the following property:

[tex]\log _ab=\frac{\log b}{\log a}[/tex]

Then, for the given expression you have:

[tex]\log _210=\frac{\log10}{\log2}=\frac{1}{\log }\approx3.322[/tex]

Hence, the answer is approximately 3.322

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