Feel the Earth Shake

Logarithms is the inverse operation to exponents. This means the logarithm of a number is the exponent of a fixed value, the base number must be raised to produce the desired output. In laymen’s terms the logarithm does repeated multiplication. For example, the logarithm of 100 = 2, like 10^2 = 100; the multiplication is repeated three times. We use logarithms to calculate the magnitude and strength of an earthquake. An 8.0 magnitude earthquake is 10 times bigger than an 7.0 magnitude earthquake. Also 8.7 earthquake is 794 times larger than a 5.8 earthquake. Look at the formula below:

10^x+1 = 43

The base logarithm is 10,  and 43 is the output. To determine the magnitude of the quake the value of x needs to be determined. Played around with the formula until I  found the fixed value for x. The value of x is 0.6334684556, and when added to 1 outputs the value of 43, meaning this was not a significant earthquake and to check if its right I have to do the inverse of the formula.

log 10(1.6334684556) = 43.000000002

 

 

 

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