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Logarithms Base Switching Worksheets - Download free PDFs

Logarithms

Logarithms

Base Switching

1. \log_{\frac{1}{2}}(16)

1. \log_{\frac{1}{2}}(16)

2. \log_{3}(\frac{1}{27})

2. \log_{3}(\frac{1}{27})

3. \log_{\frac{1}{2}}(x)

3. \log_{\frac{1}{2}}(x)

4. \log_{2}(6)\cdot\log_{6}(8)

4. \log_{2}(6)\cdot\log_{6}(8)

5. (\log_{b}(5))(\log_{5}(b))

5. (\log_{b}(5))(\log_{5}(b))

6. \log_{\sqrt{7}}(49)

6. \log_{\sqrt{7}}(49)

7. \log_{x^{25}}(2)

7. \log_{x^{25}}(2)

8. \log_{m^{n}}(m)

8. \log_{m^{n}}(m)

9. \log_{\frac{1}{2}}(2)

9. \log_{\frac{1}{2}}(2)

10. \log_{3}(2)\cdot\log_{2}(3)\cdot\log_{5}(3)

10. \log_{3}(2)\cdot\log_{2}(3)\cdot\log_{5}(3)

Answers

Logarithms

Base Switching

1. -4

2. -3

3. -\log_{2}(x)

4. 3

5. 1

6. 4

7. \frac{1}{25}\log_{x}(2)

8. \frac{1}{n}

9. -1

10. \log_{5}(3)