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WorksheetsExploring Logarithmic Functions
Total questions: 15
Worksheet time: 8mins
Evaluate: log_2(8)
4
3
1
2
Convert to logarithmic form: 3^x = 27
log_3(3) = x
log_3(27) = x
log_3(81) = x
log_3(9) = x
Solve for x: log_10(x) = 2
1
10
100
1000
Use logarithms: A population grows from 100 to 400 in 5 years. Find the growth rate.
50.00%
32.19%
25.00%
15.75%
Evaluate: log_5(25)
2
3
4
1
Convert to exponential form: log_3(9) = 2
3^4 = 81
3^1 = 3
3^3 = 27
3^2 = 9
Solve for x: 2 * log_2(x) = 4
2
8
16
4
Use logarithms: A sound intensity increases by a factor of 10. What is the increase in decibels?
10 dB
20 dB
5 dB
15 dB
Evaluate: log_10(0.01)
0
-1
-2
-3
Convert to logarithmic form: 5^3 = 125
log_3(125) = 5
log_5(125) = 3
log_5(3) = 125
log_10(125) = 3
Solve for x: log_4(x + 1) = 3
32
16
8
63
Use logarithms: If a car's value decreases by 20% each year, how long until it's worth half its original value?
1.5 years
3.5 years
4 years
Approximately 2.32 years
Evaluate: log_7(49)
1
4
2
3
Convert to exponential form: log_2(16) = 4
2^5 = 32
2^4 = 16
2^2 = 4
2^3 = 8
Solve for x: log_10(5x) = 1
2
5
1
3
