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Logarithmic Equations

Same Base

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

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

2. \log_{3}(x)+\log_{3}(x+1)=\log_{3}(42)

2. \log_{3}(x)+\log_{3}(x+1)=\log_{3}(42)

3. \log_{10}(x)+\log_{10}(x-1)=\log_{10}(6)

3. \log_{10}(x)+\log_{10}(x-1)=\log_{10}(6)

4. \log_{2}(x+3)+\log_{2}(x-1)=\log_{2}(12)

4. \log_{2}(x+3)+\log_{2}(x-1)=\log_{2}(12)

5. \log_{5}(x)+\log_{5}(x+1)=\log_{5}(20)

5. \log_{5}(x)+\log_{5}(x+1)=\log_{5}(20)

6. \log_{8}(x+3)+\log_{8}(x+2)=\log_{8}(6)

6. \log_{8}(x+3)+\log_{8}(x+2)=\log_{8}(6)

7. \log_{5}(t)+\log_{5}(t+6)=\log_{5}(72)

7. \log_{5}(t)+\log_{5}(t+6)=\log_{5}(72)

8. \log_{2}(x)+\log_{2}(x-1)=\log_{2}(6)

8. \log_{2}(x)+\log_{2}(x-1)=\log_{2}(6)

9. \log_{3}(2x-1)+\log_{3}(2x)=\log_{3}(2)

9. \log_{3}(2x-1)+\log_{3}(2x)=\log_{3}(2)

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

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

Answers

Logarithmic Equations

Same Base

1. x=1

2. x=6

3. x=3

4. x=3

5. x=4

6. x=0

7. t=6

8. x=3

9. x=1

10. x=\frac{1}{2}