Precalculus ch3 Review
Precalculus ch3 Review
Precalculus ch3 Review
Chapter 3 Review
Name______________________
B. g (x ) = 5x + 2 4 C. g ( x ) = 3 log ( 2 x )
1 B. g ( x ) = 1 + 3
2 x
1 C. h (x ) = 2 + 2 7. Given log a 2 = 0.3562, log a 3 = 0.5646, and log a 5 = 0.8271 , evaluate the following.
45 A. log a 12
B. log a ( 120 )
8. Use the properties of logarithms to simplify the expression log 2 (x 2) + log 2 (x + 2) , and write as a sum difference, and/or constant multiple of logarithms.
6x 2 9. Use the properties of logarithms to expand the expression ln . 2 x +1 10. Solve 27 x = 81 without using a calculator.
11. Solve log (7 x ) log (3x + 2) = 1 . 12. Solve 2e 2 x e x 10 = 0 . 13. Solve. A. x = 51+log5 3 14. Solve 5x + 2 = 71 x . 15. Simplify each expression.
1
B. x = e t + ln t
A.
2 3 5 2
1
B.
2 32
C.
3 2 3 2 83 + 8 3 4 4
16 2 5 3
16. Evaluate without using a calculator. A. log 32t = 0.6 17. Solve. A. 8 + B. 2ln e 2 + 1
1 x e 2 = 15 4
0.06 B. 1 + 4
4t
=3
C. 28 5ln (x + 4) = 36
Be sure to review other problems like the ones assigned from section 3.5 Make sure you know how to identify logarithmic and exponential models from their graph.