SOLUTION: I am really horrible at word problems, and I don't really understand logarithms that well. So here it goes. The intensity of an earthquake, measured on the Richter scale, is giv

Question 693604: I am really horrible at word problems, and I don't really understand logarithms that well. So here it goes.
The intensity of an earthquake, measured on the Richter scale, is given by the log (I/I subscript 0), where I subscript 0 is the intensity of an earthquake of certain small size
In 2008 the earthquake in Rhodes, Greece measured 6.7 on the Richter Scale.

A) express this intensity I in terms of I (subscript 0)
B) in 2008 the earthquake in Sichuan, China, measured 8.0 on the Richter scale. Express this intensity I in terms of I (subscript 0).
C) How many more times intense was the earthquake in china than the earthquake in Greece?
Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!

Since the definition of logarithms says:

and we are assuming the base of the given log to be 10 because it is not specified, we can write:

And then

Similarly

and finally:

You can usually do relative size of earthquakes in your head. A whole number is 10 times the intensity of the next lower whole number. So two whole numbers is 100 times, etc. 0.1 is a 1.25 multiplier, 0.2 is approximately a 1.6 multiplier, and 0.3 is very close to a 2 multiplier. So your 1.3 difference is worth 10 (for the whole number) times 2 (for the 0.3) for a total of 20.

John

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