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