Find the exact answer and the approximate answer to two decimal places. a) log5 (83) b) log4 (e. 2. ) 2. Solve stating the exact answer and the approx...
Chapter 5 Review A Assignment # ___ You must show your work on a separate piece of paper. 1. Find the exact answer and the approximate answer to two decimal places. a) log5 (83) b) log4 (e2) 2. Solve stating the exact answer and the approximate answer to two decimal places. a) 34 x+1 = 107 b) e−0.07 x = 3.85 3. Solve without using a calculator: log 2 ( x) + log 2 ( x − 7) = 3 4. If log 7 (2) = x and log 7 (3) = y , find in terms of x and y without using a calculator.
4 b) log 7 81
a) log 7 (72)
5) Find the inverse, the domain and range of the inverse of b) y = log 3 x a) y = 2 x 6. Find:
a) log 5 625 c) log 5 1257
1 16 d) log 3 5 81
b) log 2
e) ln 1 g) 7 log7 5
f) ln 3 e 2 h) e2ln 3 7. Solve for x:
i) log 6 9 + log 6 4 3 2 c) log 3 x + log 3 2 = 4
a) log 5 x = −
3 2 d) ln x − ln 5 = 1 b) log x 27 =
8. Between what 2 consecutive integers is: a) log 2 21 9. Write an exponential function y = abx whose graph passes through (1, -12) and (-1, -3) 11. True or False: log 7 12 a. = log 7 12 − log 7 5 log 7 5 b. 3x = ( eln 3 )
1 ln x − ( 2 ln 5 + ln 2 ) = 3 2 g) 4 x = 8 x +1 1 b) log 3 10 e)
x
12 c. log 7 = log 7 12 − log 7 5 5
10. Solve: exact values a. ln (2x + 1) = 5 b. ln 2x + 1 = 5 x −2 − y −2 12. Simplify: x −1 − y −1