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Study problems on exponential and logarithmic equations for an upcoming test. Solve equations and rewrite in different forms. Practice logarithmic conversions, expansions, and condensing. Prepare for exponential growth problems and population estimation scenarios.
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Test Review Game Chapter 3 Exponents and Logarithms
Box-wad-of-paper 29 1 5 9 13 17 21 25 30 2 6 10 14 18 22 26 3 7 11 15 19 23 27 4 8 12 16 20 24 28
Agenda • Get quiz back. • Work review problems from the board. (Use these to study.) • Test tomorrow!!!!
1 Solve. 52x = 59x + 7 x = -1
2 Solve. x = -2, 5 Why?
3 Solve. x = 1 6
4 Solve. 27x = 800 x = ?
5 Solve. logx 512 = 3 x = 8
6 Solve. log8 (3x - 6) = log8 (9x + 23)
7 Solve. log7 (x2 - 5) = log7 (59)
8 Solve. log9(x + 3) = log92x x = ?
9 Rewrite as log, approximate 3x = 72 x = 3.8928
10 Rewrite as log, approximate 7x = 23.4 x = 1.6202
11 Rewrite as log, approximate 53x = 37 x = 0.7479
12 Write in logarithmic form. 82 = 64 log8 64 = 2
13 Write in logarithmic form. 93 = 729 log9 729 = 3
14 Write in logarithmic form.
15 Write in logarithmic form. 65 = 7776 log6 7776 = 5
16 Write in exponential form.
17 Write in exponential form. log11 1331 = 3 113 = 1331
18 Write in exponential form. log5 625 = 4 54 = 625
19 Write in exponential form.
20 Evaluate -4
21 Evaluate 4
22 Evaluate -2
23 Expand log3 (27x)2 2(log3 27 + log3 x) = 2log327 + 2log3x
24 Expand
25 Condense
26 Condense
27 Rewrite in exponential form, evaluate log11 1331=x X=3
28 Rewrite in exponential form, evaluate log2128=x X=7
29 A bacteria culture starts with 6500 bacteria. After 2.5 hours, there are 208,000 bacteria present. What is the length (in minutes) of the doubling period? t=.5 hours, 30 minutes
30 The world population doubles every 35 years. In 1980 the population was 4.5 billion. Assuming that the doubling period remains at 35 years, estimate the population in the year 2120. 72 billion people