LOGARITHMS

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10 Terms

1
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How many laws of logarithms do we have?

Three (3).

  1. multiplication law

  2. division law

  3. power law

2
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What is the multiplication law?

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3
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What is the division law?

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4
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What is the power law?

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5
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What is the log(1/×) equal to?

It is equal to -log(x).

<p>It is equal to -log(x).</p>
6
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<p>How would you solve the following equation? </p>

How would you solve the following equation?

By taking logs from both sides and rearranging to find x. (result: x = 0.105)

7
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<p>How would you solve the following equation?</p>

How would you solve the following equation?

By using substitution with y = 3^x and then taking logs from both sides.

8
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When is the inequality symbol of logarithmic inequality reversed?

When we divide with a negative number, or in this case, when log is between 0 and 1.

Look at the following example, log 0.6 is a negative number, so the sign changed from < to >.

<p>When we divide with a negative number, or in this case, when log is between 0 and 1. </p><p>Look at the following example, log 0.6 is a negative number, so the sign changed from &lt; to &gt;.</p>
9
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What are natural logarithms?

Logarithms to the base of e.

10
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How can we transform a certain relationship to linear form?

By taking ln (natural logarithmics) from both sides. We would need to get a form of Y = mX + c. Look at the following example for detailed explanation:

<p>By taking ln (natural logarithmics) from both sides. We would need to get a form of <strong>Y = mX + c</strong>. Look at the following example for detailed explanation:</p><p></p>