
Common Logarithms
Presentation
•
Mathematics
•
10th Grade
•
Hard
James Gonzalez
FREE Resource
6 Slides • 29 Questions
1
Discover the incredible potential of logarithms and how they can be used to solve complex mathematical problems. Explore the fundamental concepts and applications of logarithms in various fields such as science, engineering, and finance. Unlock the power of logarithms and enhance your problem-solving skills.
2
Introduction to Logarithms
3
Multiple Choice
What are the applications of logarithms?
Solving exponential equations
Analyzing data
Simplifying complex calculations
All of the above
4
Applications of Logarithms
5
6
The base of the log is 10 and the base of the the exponent is also 10.
7
Multiple Choice
8
Multiple Choice
9
Multiple Choice
10
Multiple Choice
11
Multiple Choice
12
13
Multiple Choice
To evaluate a logarithm statement log981, you think "9 to what power is 81".
True, and it's 2
False
14
Multiple Choice
Condense the Logarithm 5loga − 25logb
log (a5+b25)
log (a5−b25)
log (ab)25
log (b25a5)
15
Multiple Choice
Condense 3logx+4logy +logz
log x3y4z
12log xyz
log 3x4yz
16
Multiple Choice
Condense the Logarithm 5loga − 25logb
log (a5+b25)
log (a5−b25)
log (ab)25
log (b25a5)
17
Multiple Choice
Condense 3logx+4logy +logz
log x3y4z
12log xyz
log 3x4yz
18
Multiple Choice
Use the change-of-base formula to evaluate log211
3.459
4.359
5.123
2.345
19
Multiple Choice
Simplify: log4(x+4)−log4(x−5)
log49
log4(2x−1)
log4(x2−x−20)
log4(x−5x+4)
20
Multiple Choice
Simplify: 2log3(11x)
log3(22x)
log3(121x)
log3(121x2)
log3(11x2)
21
Multiple Choice
Simplify: 41log516+3log5x
log5(4x3)
log5(2x3)
log5(6x)
log5(x32)
22
Multiple Choice
Simplify: 41log281+21log249
log221
log210
log2(73)
log244.75
23
Multiple Choice
Simplify: 21log964+log9x
log9(32x)
log9(8x)
log9(x8)
log98x
24
Multiple Choice
log 6 - log 3 + 2 log 7
25
Multiple Choice
Expand using the properties of Logaritms log y4zx3
logx+4logy +logz
3logx−4logy −logz
3logx+4logy +logz
3logx−4logy +logz
26
Multiple Choice
Use these and other properties of logarithms to evaluate the expression.
log232 − 6log63
2
−2
8
3
27
Multiple Choice
Expand the logarithm.
log4x3y
21log4(x)−21log4(y)
23log4(x)−21log4(y)
21log4(x)−log4(y)
23log4(x)−log4(y)
28
Multiple Choice
Use the change-of-base formula to evaluate log7 163 rounded to two decimal places
0.82
0.86
0.85
0.87
29
Multiple Choice
Expand the logarithm.
logy6x
logx+6logy
logx−6logy
logx+log6y
logx−log6y
30
Multiple Choice
Expand . log6(y5x3)
log65x3−log6y
log65+log6x3−log6y
log65+3log6x−log6y
log65+3log6x+log6y
31
Multiple Choice
Evaluate log52+log520−log54 . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.
1.4307
−1.4307
1.3470
−1.347
32
Multiple Choice
Evaluate log6 361+log636−5log61 . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.
1
5
12
0
33
Multiple Choice
Evaluate log6 2161+log24+log2 81 . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.
4
−4
2
5
34
Multiple Choice
Evaluate log330−log4 45 . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.
1.9041
−1.9041
19,041
9,041
35
Multiple Choice
Evaluate 1000log104−log464+25log510 . Use the table to approximate the value of the logarithmic expression or use the change-of-base formula to simplify.
161
61
−161
126
Discover the incredible potential of logarithms and how they can be used to solve complex mathematical problems. Explore the fundamental concepts and applications of logarithms in various fields such as science, engineering, and finance. Unlock the power of logarithms and enhance your problem-solving skills.
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