Any object that moves covers a distance over time. Using these two parameters, we can calculate the speed. Speed is simply the rate of displacement. There is a formula that connects these three entities. If you encounter any distance, speed, time graph, then remember that the formula is the only way to finding the solution.
It is easy to calculate the distance between two points by applying the Pythagoras theorem. Using the coordinates of the two points, you can calculate both the vertical and horizontal distances. You can then calculate the diagonal of the right-angled triangle formed.
Logarithms borrow more from exponents. If you have the knowledge of exponents, including laws of exponents, then evaluating any logarithmic equations will not be a problem. In this tutorial, we will discuss how to evaluate basic logarithms without a calculator.
Evaluation of logarithmic equations is simple when you know the laws and properties of logarithms. Even that seemingly complex problem can be simple to solve when you know what properties to apply. In this tutorial, we will state all the properties and look at some examples of how to apply them.
There is nothing unique about linear cost functions if you are already familiar with general linear functions, which are of the form $$y=m x+c$$ The equation is not new to you, right?
In this lesson, you will learn straightforward ways to solve exponential equations. It is easy to convert exponential equations to logarithmic equations. After conversion, you apply the laws of logs to solve the resulting equation. In other words, solving exponential equations involves conversion to logarithms as the first step.
In a previous lesson, you learned how to find a logarithmic base. Therefore, we will assume that you already know all the log laws and their applications. In this tutorial, we will be focusing on how to solve logarithmic equations using those laws that are in your arsenals.
Solving for an unknown base of a logarithm simply means working in a reverse form. In this case, you will have a logarithm of a number without knowing the base of that logarithm. From our knowledge of how to evaluate basic logarithm, this reverse process should not pose any challenge to us.
A percentage is a different way of representing fractions or decimals. It represents part of a whole thing that is in question. But instead of leaving the result as a fraction or as a decimal, it is expressed as a percentage.
We need at least two points to find the equation of a line if we don’t have any information about its gradient. Equation of any line takes the slope-intercept form, $$y=mx+c$$ and we can always express any equation in this form if we have two sets of coordinates of any two points on the line.