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Logarithms Logarithms Worksheets - Download free PDFs

Logarithms

Logarithms

Zero, One, Negative

1.\:\:\log_{10}(10)

2.\:\:\log_{10}(1)

3.\:\:\log_{a}(a)

4.\:\:\log_{b}(1)

5.\:\:\log_{2}(-4)

6.\:\:\log_{10}(0)

7.\:\:-2\log_{5}(5)

8.\:\:\log_{7}(1)\cdot\log_{5}(25)

9.\:\:-\log_{3}(1)

10.\:\:\log_{3}(\sqrt{9})

Logarithms

Logarithms

Power Rule

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

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

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

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

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

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

7.\:\:\log_{2}(8)

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

9.\:\:\log_{10}(4)

10.\:\:\log_{16}(4)

Logarithms

Logarithms

Product Rule

1.\:\:\log_{10}(2)+\log_{10}(5)

2.\:\:\log_{10}(2)+\log_{10}(11)+\log_{10}(7)

3.\:\:\log_{5}(4\cdot7)+\log_{5}(2)

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

5.\:\:\log_{10}(ay^{3})

6.\:\:\log_{10}(\frac{12}{13})+\log_{10}(13)

7.\:\:\log_{5}(6)+\log_{5}(\frac{1}{3})+\log_{5}(10)

8.\:\:\log_{10}(7)+\log_{10}(\frac{1}{7})

9.\:\:\log_{10}(30)+\log_{10}(\frac{1}{10})

10.\:\:\log_{4}(11)+\log_{4}(11-6)

Logarithms

Logarithms

Quotient Rule

1.\:\:\log_{6}(18)-\log_{6}(3)

2.\:\:\log_{10}(3)-\log_{10}(8)

3.\:\:\log_{10}(15)-\log_{10}(1.5)

4.\:\:\log_{10}(\frac{a}{10})

5.\:\:\log_{2}(\frac{4}{x})

6.\:\:\log_{8}(\frac{x}{8})

7.\:\:\log_{10}(x^{2}-4)-\log_{10}(x-2)

8.\:\:\log_{10}(12)-\log_{10}(4)

9.\:\:\log_{3}(5)-\log_{3}(10)-\log_{3}(\frac{1}{2})

10.\:\:(\log_{10}(3)-\log_{10}(4))-\log_{10}(2)

Logarithms

Logarithms

Base Switching

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

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

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

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

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

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

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

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

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

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