Use the Richter scale R = log for measuring the magnitudes of earthquakes. Find the magnitude R of each earthquake of intensity I (let Io = 1). (Round your answers to two decimal places.) (a) I= 115,800,000 R = (b) I = 49,986,000 R = (c) I= 11,000 R =

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A: This question is based on substitution of values in a formula.

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A: ln(xy)=ln(x)+ln(y) using the addition property of logarithm. Where x>0 and y>0.

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Q: give

A:

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A: t=1clnA-lnA-N a). On simplifying the above formula, we get t=1clnAA-N          Because, lnx-lny=lnxy

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A: Consider the integral: ∫logx3xdx…

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A: Using the formula V = P ert

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A: We will use the formula

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A: Given integral is ∫ 3x2+log3xdx. Consider u= 3x2.

Q: 2. Why is it not necessary to know the value of "a" to determine the value of loga(-1)?

A: Given logarithm, loga(-1)

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A:

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A:

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A:

Q: an equivalent logarithmic equation.

A: Given that: The equation is e - 8.6 = h.

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A:

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A: let y = ln(e23) we know that mn = m1n∴y = ln(e2)13

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A: Relation between Exponential and logarithmic function with same base

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A: The given expression is,

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A: differences between linear quadratic exponential and logarithmic functions

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A: We can solve this as follows:

Q: 48. Determine the exact value of log, 4.

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A: given y=bxwe need to express  x in terms of y we use the following property  lnab  =   b lnalogab…

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Q: Use the properties of logarithms to expand the logarithmic expression. ln(3e2)

A: The given expression is ln3e2.

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A: It is given that, lnx2y3z4 Use the properties of logarithms,we have to  expand the quantity.

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A: Logarithmic functions: The logarithmic function is in the form of y=logax. For example log416,…

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A: Given;  y=ecosx^2/[pi x sqrt(2x3+1)].

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Correlation

Correlation defines a relationship between two independent variables. It tells the degree to which variables move in relation to each other. When two sets of data are related to each other, there is a correlation between them.

Linear Correlation

A correlation is used to determine the relationships between numerical and categorical variables. In other words, it is an indicator of how things are connected to one another. The correlation analysis is the study of how variables are related. 

Regression Analysis

Regression analysis is a statistical method in which it estimates the relationship between a dependent variable and one or more independent variable. In simple terms dependent variable is called as outcome variable and independent variable is called as predictors. Regression analysis is one of the methods to find the trends in data. The independent variable used in Regression analysis is named Predictor variable. It offers data of an associated dependent variable regarding a particular outcome.