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WorksheetsExploring Logarithms and Their Applications
Total questions: 15
Worksheet time: 8mins
What is the value of log(0.1) to the base 10?
-2
1
0
-1
Solve for x: log(x) = -2.
1
0.01
10
0.1
If log(x) = -1, what is the value of x?
0.1
1
0.01
10
Calculate log(0.01) to the base 10.
0
-3
-1
-2
If log(0.5) = y, express 0.5 in terms of y.
0.5 = 0.1^y
0.5 = 5^y
0.5 = 10^y
0.5 = 2^y
Solve for x: 10^x = 0.01.
1
-1
0
-2
What is the value of log(0.001) to the base 10?
3
0
-2
-3
If log(x) = -3, find the value of x.
0.01
0.001
10
1
Express log(0.25) in terms of log(2).
-log(1)
-2 * log(2)
-log(0.5)
log(4)
Solve for x: log(3x) = 0.
0.1
1/3
3
1
If log(0.2) = a, what is the value of 10^a?
1
2
0.1
0.2
Calculate log(0.05) to the base 10.
-1.3010
0.3010
-0.3010
-2.3010
If log(x) = -0.301, what is the value of x?
1.000
0.301
0.100
0.497
Solve for x: 2^x = 0.125.
-3
-4
0
-2
What is the relationship between log(1/x) and log(x)?
log(1/x) = log(x)
log(1/x) = 1/log(x)
log(1/x) = -log(x)
log(1/x) = log(x^2)
