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Biblioteka

136 Logartihmic Equations

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Posljednje ažuriranje about 5 years ago
11

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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.

Pitanje 1
1.

Solve (from yesterday)

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

hint: the base is 8

Pitanje 2
2.

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

Pitanje 3
3.

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

  1. \log_8(x)=2

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

  3. x=64

Pitanje 4
4.

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

  1. x=27

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

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

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

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

Pitanje 5
5.

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

Pitanje 6
6.

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

Pitanje 7
7.

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

Pitanje 8
8.

Solve \log_{2}{256}=x

Pitanje 9
9.

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

Pitanje 10
10.

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

Pitanje 11
11.

Choose all that are true