Correct answer to 474 (a): 1000=103, so log(1000)=3.
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Correct
answer to 474 (a):
1000=103, so log(1000)=3.
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Correct
answer to 474 (b): Look up in the table or on the log chart. log8=0.903
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answer to 474 (c): From table or chart, Log(4.8)= 0.681
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answer to 474 (d) : Find the log of 3.5 first and combine with the
power of ten. 3.5 x 10-2 = 100.54 10-2 = 100.54
- 2 = 10-1.46 . So log (3.5 x 10-2) = -1.46
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Correct answer to 474 (e) : 2000 = 2x103=100.3+3.
Log(2000) = 3.3
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answer to 474 (f): 500,000= 5x105= 100.70+5.
Log(500,000) = 5.70
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answer to 474 (g): Log(2.1x10-2x 4.0 x 106)
= Log (8.4x10-2+6) = Log(100.92+4)) = 4.92
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answer to 474 (h): 0.00032 = 3.2x10-4 and Log(3.2x10-4) = Log(3.2) -4 =
0.505 - 4 = -3.49.
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answer to 474 (i): Log (438x105) = Log(4.38x102x105)
= Log(4.38)+7=0.64+7=7.64
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answer to 474 (j): It is easiest to divide first: 5x10-3/2x103
= 2.5x10-6= 100.398-6 = 10-5.6. So Log (...)
= -5.6.
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answer to 476 (a): 10x by the definition of a logarithm
as the exponent in the power of ten.
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answer to 476 (b): 102 = 100.
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answer to 476 (c): 104.8= 100.8x104
= 6.3 x104 by use of the log table or chart.
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Correct
answer to 476 (d): 100.5 = 3.2 from the table.
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answer to 476 (e): 10-0.5 = 1/ 100.5 = 1/ 3.16
= 0.316
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Correct answer to 476 (f): 10-16.5
= 10-17 + 0.5= 100.5x10-17 = 3.2x10-17
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Your answer to Q500: Sorry, your answer is not correct,
please try again or click HERE to see the solution.
Help: Fundamentals of Sound, Sec. 11-E.
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Correct Answer to Question 500: The correct answer is c). Multiply out the numbers to get 6 x 108 = 10(log(6) + 8), so that a) is correct. Alternatively express each number as a power of ten: 3 x 103 x 2 x 105 = 10log(3)x103x10log(2)x105 = 10(log(3) + 3 + log(2) + 5) so that b) is also correct.
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Your answer to Q510: Sorry, your answer is
not correct. Please try again or click HERE for the
solution.
Help: Fundamentals of Sound, Sec. 11-F.
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Correct Answer to Question 510: All forms are correct so d) is the answer. 0.00063 = 6.3x10-4 so that b) is correct. But 0.00063 = 10log(6.3)x10-4 = 10(log(6.3) -4), which proves c). Next log(6.3) = 0. 8 so that log (0.00063) = 0.8-4 = -3.2 proving a).
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