Brian McLogan
Solving a natural logarithmic equation with a root log
👉 Learn how to solve natural logarithmic equations. Logarithmic equations are equations with logarithms in them. To solve a natural logarithmic equation, we first isolate the logarithm part of the equation. After we have isolated the...
Brian McLogan
Learn how to solve an exponential equation by taking natural log on both sides
👉 Learn how to solve exponential equations in base e. An exponential equation is an equation in which a variable occurs as an exponent. e is a mathematical constant approximately equal to 2.71828. e^x is a special type of exponential...
Brian McLogan
Condensing a logarithmic expression with fractions
👉 Learn how to condense logarithmic expressions. A logarithmic expression is an expression having logarithms in it. To condense logarithmic expressions means to use the logarithm laws to reduce logarithm expressions from the expanded...
Brian McLogan
Applying the power rule of logarithms to solve the equation, 3log7 (4) = 2log7 (b)
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...
Brian McLogan
Where does logarithmic equations come from
👉 Learn all about logarithms. The logarithm of a number say a to the base of another number say b is a number say n which when raised as a power of b gives a. (i.e. log [base b] (a) = n means that b^n = a). The logarithm of a number is...
Brian McLogan
Graphing an exponential function using transformations
👉 Learn how to graph exponential functions involving vertical shift. An exponential function is a function that increases rapidly as the value of x increases. To graph an exponential function, it is usually very useful to make the table...
Brian McLogan
Using Carbon dating to determine the age of a fossil
Using Carbon dating to determine the age of a fossil
Brian McLogan
Where do logarithmic graphs come from
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
Master Solving Exponential equations by using a calculator
Master Solving Exponential equations by using a calculator
Brian McLogan
How to determine, domain range, and the asymptote for an exponential graph
👉 Learn all about graphing exponential functions. An exponential function is a function whose value increases rapidly. To graph an exponential function, it is usually useful to first graph the parent function (without transformations)....
Brian McLogan
Graph a logarithmic function with multiple transformations
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
Applying transformations to graph an exponential function
👉 Learn how to graph exponential functions in base e. An exponential function is a function whose value increases rapidly. e is a constant called the exponential constant equal to 2.7183... To graph an exponential function, it is usually...
Brian McLogan
Writing an equation in exponential form to logarithmic
👉 Learn how to convert exponential equations to logarithmic equations. The logarithm of a number in a given base is the index/exponent to which the base must be raised to obtain the given number. In other words, log [base a] of x = m...
Brian McLogan
Solving an exponential equation by converting to a logarithmic equation
👉 Learn about solving exponential equations. Exponential equations are equations involving exponents. To solve an exponential equation, we express the terms in both sides of the equality sign as single terms. Then, we express the single...
Brian McLogan
Showing how to find the inverse of an exponential to find the log, y = 2^x
👉 Learn how to convert an exponential equation to a logarithmic equation. This is very important to learn because it not only helps us explain the definition of a logarithm but how it is related to the exponential function. Knowing how...
Brian McLogan
Learn the basics for solve an exponential equation using a calculator
👉 Learn how to solve exponential equations. An exponential equation is an equation in which a variable occurs as an exponent. To solve an exponential equation, we isolate the exponential part of the equation. Then we take the log of both...
Brian McLogan
How to find the integral of an exponential function using u sub
👉 Learn how to evaluate the integral of a function. The integral, also called antiderivative, of a function, is the reverse process of differentiation. Integral of a function can be evaluated as an indefinite integral or as a definite...
Brian McLogan
What is compound interest
Learn about compound interest. Compound interest is an additional money added to an investment, deposit or a loan, calculated based on the principal and the accumulated interest. A compound interest can be compounded more than once a...
Brian McLogan
Determining the domain vertical asymptote and x intercept of a logarithm
👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
Brian McLogan
Learn how to model an exponential function that is compounded continuously
In this video series you will learn the basics of logarithmic and exponential functions. We will start off by converting between exponential and logarithmic expressions. We do this so that we can understand what a logarithm represents....
Brian McLogan
Learn how to graph a logarithm with reflections over x and y axis
👉 Learn how to graph logarithmic functions. The logarithmic function is the inverse of the exponential function. To graph a logarithmic function, it is usually very useful to make the table of values of the function. This is done by...
Brian McLogan
Graphing an logarithmic equation using transformations
👉 Learn all about graphing logarithmic functions. A logarithmic function is a function with logarithms in them. The graph of the parent function of a logarithmic function usually takes its domain from the positive x-axis. To graph a...
Brian McLogan
Using quotient rule of logarithms to solve an equation, log4 (n + 1) - log4 (n - 2) = 1
👉 Learn about solving logarithmic equations. Logarithmic equations are equations involving logarithms. To solve a logarithmic equation, we first use our knowledge of logarithm laws/properties to express the terms in both sides of the...