Solving exponential equations

1. 8^x+1= 8⁵

2. 13^{(x + 11)}= 13⁸

3. 4^x= 16

4. 2^{(3x - 6)}= 8

5. 5^{(- 3x)}= 1/25

6. 9^(2x)= 27

7. 3^{(x - 5)}= 1/81

8. 3^x= 29

9. 8(3^{x - 6}) = 876

10. 5e^{(2.1x - 2)}= 14

11. A type of bacteria doubles in population every 2 hours. Given that there were approximately 5 bacteria to start with, how many bacteria will there be in 10 hours?

12. At time t = 0 hours, there are 500 bacteria in a favorable growth medium. 5 hours later, there are 2000 bacteria. Assuming exponential growth, what is the growth constant "k" for the bacteria?