5.6 Natural Logarithms Find the value of each logarithm. 1. Log2 (8) 3
4. Logx (x ) 7. Log(10) 10. ln(e) Solve the equations: 12. ln(x − 5) = 4 14. 3e2 x+7 = 95 2. Log8 (1) ⎛ 1⎞
3. Log4 ⎜⎝ ⎟⎠ 4
5
5. Loge (e ) 6. Log(100) 8. Log(17.3) 9. Loge (100) 11. ln(5) 13. 5e x = 57 15. 3ln(4x) − 5 = 2 ANSWERS: 1. 3 2. 0 3. −1 4. 3 5. 5 6. 2 7. 1 8. 1.238 9. 4.605 10. 1 11. 1.609 12. 59.598 13. x = 2.434 14. −1.772 15. 2.578