Download Algebra 2 Name__________________________

Algebra 2
Name__________________________
Date_____________ Period ____
Solving Exponential and Logarithmic Equations
Solve each equation.
1. 4-2x = 4-x-2
2. 33n = (1/81)
4. -18p = 98
5. 3(15x) = 6
3. 103b = 100000
(Note: for #4 and #5, take the log of both sides first!)
Solve each equation.
6. log19 (8-r) = log19 (-3r)
7. log (3x +2) = log (2x -1)
8. ln (72 – 2b) = ln (10b)
9. log848 - log8x = log84
10. log3 (x-3) + log3 6 = 5
11. 2log5x – log52 = log5(2x-6)
13. 2log3y = log34 + log3(y+8)
Algebra 2
Name__________________________
Date_____________ Period ____
Solving Exponential and Logarithmic Equations
Solve each equation.
(Note: for #14-17, use the definition of logarithms to change these problems
to exponential form.)
14.
4log33x = 20
15. log8(x-5) = 2/3
16.
3log5 (x+2) = 6
17. 4ln2x = 5
Answer the following prompts in your own words.
17. Describe your process in solving problems #1-3.
__________________________________________________________
______________________________________________________
18. What is the difference between solving problems like #6-8 and
problems #9-13.
__________________________________________________________
__________________________________________________________
______________________________________________________