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Numerade Educator

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Problem 39 Easy Difficulty

Express the given quantity as a single logarithm.

$ \ln 10 + 2 \ln 5 $

Answer

$\ln 250$

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Video Transcript

all right. We want to take this expression and change it to a single law algorithm. And to do that, we're going to use some properties of logarithms starting with the power property. So we're going to take this to and bring it up and make it a power on five. So now we have a natural log of 10 plus the natural log of five squared. All right, now we can use the product property. When we have a log plus a log, we can change it into the log of the product. So now we have the natural log of 10 times five squared, so that would be the natural log of 2 50