Logarithmic phenomena: Compressed scales (HOMEWORK HELP!!)

sonrays06

sonrays06

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1. If the relative intensity of an earthquake is 6,340, find the magnitude (rounded to one decimal place).
2. If an adjustment raises the sound on your television by 7 decibels, how is the relative intensity of the sound affected? Round your answer to one decimal place.
The relative intensity is multiplied by ?
3. A certain population is growing according to the formula: N = 1410 × 1.03t.
What is the tripling time for this population? Round your answer to one decimal place.
4. In a certain year, a magnitude 7.4 earthquake struck California. In another year, a magnitude 5.4 quake struck Kansas. How many times as intense as the Kansas quake was the California quake?
? times
 
sonrays06 said:
1. If the relative intensity of an earthquake is 6,340, find the magnitude (rounded to one decimal place).
2. If an adjustment raises the sound on your television by 7 decibels, how is the relative intensity of the sound affected? Round your answer to one decimal place.
The relative intensity is multiplied by ?
3. A certain population is growing according to the formula: N = 1410 × 1.03t.
What is the tripling time for this population? Round your answer to one decimal place.
4. In a certain year, a magnitude 7.4 earthquake struck California. In another year, a magnitude 5.4 quake struck Kansas. How many times as intense as the Kansas quake was the California quake?
? times
Click to expand...
You were told in response to a different thread to read the guidelines. You have managed to violate two of them in one post.

Pose one problem per thread.

Show your work.

Congratulations on correctly following the guideline on giving the complete and exact problem
 
sonrays06 said:
1. If the relative intensity of an earthquake is 6,340, find the magnitude (rounded to one decimal place).
Click to expand...
How is "magnitude" of an earthquake define?

2. If an adjustment raises the sound on your television by 7 decibels, how is the relative intensity of the sound affected? Round your answer to one decimal place.
The relative intensity is multiplied by ?
Click to expand...
How is "relative intensity" defined?

3. A certain population is growing according to the formula: N = 1410 × 1.03t.
What is the tripling time for this population? Round your answer to one decimal place.
Click to expand...
First you mean 1410 x 1.03^t or \(\displaystyle 1410\times 1.03^t\). When t= 0 N= 1410. "Tripling" gives 3(1410)= 4230. Solve \(\displaystyle 1410\times 1.03^t= 4230\) for t. The answer will involve logarithms.

4. In a certain year, a magnitude 7.4 earthquake struck California. In another year, a magnitude 5.4 quake struck Kansas. How many times as intense as the Kansas quake was the California quake?
? times
Click to expand...
As for problem 1, how is "magnitude of an earthquake" defined?
 
HallsofIvy said:
How is "magnitude" of an earthquake define?


How is "relative intensity" defined?


First you mean 1410 x 1.03^t or \(\displaystyle 1410\times 1.03^t\). When t= 0 N= 1410. "Tripling" gives 3(1410)= 4230. Solve \(\displaystyle 1410\times 1.03^t= 4230\) for t. The answer will involve logarithms.


As for problem 1, how is "magnitude of an earthquake" defined?
Click to expand...
It’s already been solved but check your messages
 
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