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Question 2; DEV
 

Question 2; DEV

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    Question 2; DEV Question 2; DEV Presentation Transcript

    • Question # 2 Earthquake
    • In 1935, Charles Richter defined the magnitude of an earthquake as: M is represents the magnitude of an earthquake. I is the intensity of the earthquake. S is the standard intensity of a standard earthquake
    • The question is……… On October 8, 2005 there was an earthquake in Pakistan that has a magnitude of 7.6 on the Richter scale. A few months later another earthquake was recorded in Guru island that was 8 times stronger than the one on Pakistan. What was the magnitude of the earthquake in the Guru island?
    • The first step is to use what is given to you and change it into an equation. The equation below means that the magnitude from Guru island is equals to 8 times the intensity of the earthquake in Pakistan. The second step is to use one of the laws of logarithms. " The logarithm of a quotient is equal to the logarithm of the numerator minus the logarithm of the denominator. " So, the equation would look like this:
    • Third step is to apply another rule of logarithm Fourth step is simplify the terms in brackets. So, after that the equation will look like this: " The logarithm of a product is equal to the sum of the logarithms of each factor. " So the equation would look like this:
    • We are going to substitute its value into the original equation. So the equation would look like this: Lastly, just pick up your calculator and then put in the values. You will get about the same values below: Since…… ALWAYS REMEMBER TO PUT YOUR ANSWERS INTO FOUR DECIMAL PLACES That means that the earthquake in Guru island has a magnitude of 8.5 in the Richter scale.