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Nested Logs Nested Logs Worksheets - Download free PDFs

Logarithmic Equations

Nested Logs

1. \log_{2}(\log_{2}(x))=1

1. \log_{2}(\log_{2}(x))=1

2. \ln(\ln(x))=1

2. \ln(\ln(x))=1

3. \log_{4}(\log_{4}(2x))=1

3. \log_{4}(\log_{4}(2x))=1

4. \log_{2}(\log_{3}(x))=2

4. \log_{2}(\log_{3}(x))=2

5. \log_{2}(\log_{3}(x))=1

5. \log_{2}(\log_{3}(x))=1

6. \ln(\ln(x))=0

6. \ln(\ln(x))=0

7. \log_{2}(\log_{5}(x))=1

7. \log_{2}(\log_{5}(x))=1

8. \log_{5}(\log_{3}(x))=0

8. \log_{5}(\log_{3}(x))=0

9. \log_{2}(\log_{2}(x))=2

9. \log_{2}(\log_{2}(x))=2

10. \log_{3}(\log_{2}(x))=1

10. \log_{3}(\log_{2}(x))=1

Answers

Logarithmic Equations

Nested Logs

1. x=4

2. x=e^{e}

3. x=128

4. x=81

5. x=9

6. x=e

7. x=25

8. x=3

9. x=16

10. x=8