Classwork: Logarithmic Equations

Solve each equation.

1. 10^{-x}=4

2. e^{2x+1}=200

3. \frac{10}{1+e^{-x}}=2

4. e^{2x}-e^x-6=0

5. \log x=-2

6. 2-\ln(3-x)=0

7. \log_2 3+\log_2 x=\log_2 5+\log_2 (x-2)

8. \ln(x-1)+\ln(x+2)=1

9. \log_2 (\log_3 x)=4

10. (x-1)^{\log(x-1)}=100(x-1)

11. \log_2 x+\log_4 x+\log_8 x=11

12. 4^x-2^{x+1}=3

Advertisements