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grant369
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How many times more intense is the ground movement of an earthquake of magnitude 5 as compared with a magnitude of 3? Using M = log A.
Ted
Ted
A logarithmic function is a mathematical function that represents the inverse of an exponential function. It is used to solve problems involving exponential growth or decay.
The general form of a logarithmic function is f(x) = logb(x), where b is the base of the logarithm.
The relationship between logarithmic and exponential functions is that they are inverses of each other. This means that if f(x) = logb(x) and g(x) = bx, then f(g(x)) = x and g(f(x)) = x.
To graph a logarithmic function, you first need to determine the domain and range of the function. Then, plot a few points by choosing values for x and using the general form of the function. Finally, connect the points to form a smooth curve.
Logarithmic functions are used in many real-world applications, such as measuring earthquake intensity, calculating pH levels, and modeling population growth. They are also used in finance and economics to calculate compound interest and inflation rates.