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Logarithms Power Rule Worksheets

Logarithms

Logarithms

Power Rule

1. \log_{10}(10^{5})

1. \log_{10}(10^{5})

2. \log_{10}(x^{2})

2. \log_{10}(x^{2})

3. \log_{4}(a^{4})

3. \log_{4}(a^{4})

4. \log_{2}(2^{5})

4. \log_{2}(2^{5})

5. \log_{10}(2^{2x})

5. \log_{10}(2^{2x})

6. \log_{3}(9^{4})

6. \log_{3}(9^{4})

7. \log_{2}(8)

8. \log_{2}(\sqrt{2})

8. \log_{2}(\sqrt{2})

9. \log_{10}(4)

9. \log_{10}(4)

10. \log_{16}(4)

10. \log_{16}(4)

Answers

Logarithms

Power Rule

1. 5

2. 2\log_{10}(x)

3. 4\log_{4}(a)

4. 5

5. 2x\log_{10}(2)

6. 8

7. 3

8. \frac{1}{2}

9. 2\log_{10}(2)

10. \frac{1}{2}