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.