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Laabri

136 Logartihmic Equations

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Last updated over 5 years ago
11 Nsɛmmisa

Bell:

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Notes L7-4

Solving Logarithmic Equations

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Don't forget DeltaMath: Ch7: Solving Equations/Inequalities

You can now do the first four sections.

Asemmisa {{asɛmmisaAhyɛnsode}}
1.

Solve (from yesterday)

(\frac{1}{262144})^{-x-8}=64^{2x-12}

hint: the base is 8

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2.

The first step in solving a basic logarithmic equation is to use the base on both sides of the problem.

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3.

Put the steps in order to solve: \log_8(x)=2

  1. 8^{\log_8(x)}=8^2

  2. x=64

  3. \log_8(x)=2

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4.

Put the steps in order to solve: \log_x(81)=\frac{4}{3}

  1. x^{\log_x(81)}=x^\frac{4}{3}

  2. \log_x(81)=\frac{4}{3}

  3. 81=x^\frac{4}{3}

  4. x=27

  5. 81^\frac{3}{4}=(x^\frac{4}{3})^{\frac{3}{4}}

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5.

Solve: \log_{10}{x}=2

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6.

Solve \log_{x}{5}=\frac{1}{4}

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7.

Solve: \log_{x}{256}=4

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8.

Solve \log_{2}{256}=x

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9.

Solve: \log_{16}{x}=\frac{1}{2}

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10.

What is the first step when solving a basic logarithmic equation?

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11.

Choose all that are true