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Published byMelanie Simpson Modified over 9 years ago
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SWBAT: Translate between logarithms in any base
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One of the more useful logarithms is base 10, because our number system is base 10. Base 10 logarithms are called Common Logarithms.
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Measure sound Chemistry: measures the concentration of hydronium Telecommunication, electronic: power levels and voltage levels. Astronomy: the brightness of stars.
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The loudness L, in decibels, of a particular sound is defined as where I is the intensity of the sound and I 0 is the minimum intensity of sound detectable by the human ear.
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Decibel s Sounds 120Jet engine / Threshold of Pain 110Pneumatic Drill 100Food Blender 90Moderate Discotheque 80Noisy City Street 70Accounting Office 60Normal Conversations (4 feet) 50Average Residence Area 40City Night Noises 30Broadcast Studio – No program in progress 20Average Whisper (4 feet) 10Rustle of Leaves 0Threshold of Hearing
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If log 1.2 ≈ 0.0792, find each of the following. log 120 = log (1.2 * 10 2 ) = log 1.2 + log 10 2 = 0.0792 + 2 = 2.0792 mantissa characteristic
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If log 1.2 ≈ 0.07920, find each of the logarithms. Log 0.12 Log 0.12 ≈ log (1.2 * 10 -1 ) = Log 1.2 + log 10 -1 = 0.0792 + – 1 = – 0.9208
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Use a scientific calculator to find the log of 0.0038. Log 0.0038 = -2.420216403
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Use a scientific calculator to find the log of 2.6. Log 2.6 = 0.4150 Log 0.00041 = -3.387
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Antilogarithm: the inverse of logarithms. Log 1.2 = 0.4150 Antilogarithms would be 0.4150 = log 1.2
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Use a scientific calculator to find the antilog of 0.1790. 10 x 0.1790 =1.51
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Use a scientific calculator to find the antilog of 0.7210 – 3. 10 x (0.7210 – 3) = 0.00526
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