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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)