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Use the change of base formula and your calculator to evaluate the logarithm below. Round to the nearest hundredth.

Use The Change Of Base Formula And Your Calculator To Evaluate The Logarithm Below Round To The Nearest Hundredth class=

Sagot :

You have the following expression:

[tex]\text{log}_419[/tex]

In order to calculate the previous expression, use the following property:

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

Then, for the given expression, you have:

[tex]\log _419=\frac{\log 19}{\log 4}\approx2.12[/tex]

Hence, the result is approximately 2.12

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