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Condense the expression to the logarithm of a single quantity.

{eq}\rm a) \ \ln (2) + \ln (x) {/eq}

Question:

Condense the expression to the logarithm of a single quantity.

{eq}\rm a) \ \ln (2) + \ln (x) {/eq}

Properties of Logarithms:

There are many properties of logarithms; some of them are:

The logarithm of a product:

  • {eq}\displaystyle \ln (ab) = \ln a + \ln b {/eq}

The logarithm of a quotient:

  • {eq}\displaystyle \ln \frac{a}{b} = \ln a - \ln b {/eq}

The logarithm of a power:

  • {eq}\displaystyle \ln a^b = b \ln a {/eq}

The inverse function of a logarithm is the exponent function.

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Logarithms | Overview, Process & Examples

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Chapter 10 / Lesson 3
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Explore logarithms. Learn the definition of a logarithm and understand how it works. Discover interesting logarithm examples and find how they are expressed.


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