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.

The equation of a straight line has the standard form $$y=m x+c$$

By Robert O

The basic definition of a composite function is that it has two functions in one. The inner function is a variable to the outer function. $$

If a fraction has a fraction or fractions either on the numerator, denominator, or both, then it becomes a complex fraction (aka compound fraction). Simplifying compound fractions is no different from solving other fractions. Such fractions may seem complex, but following the necessary steps makes everything easier.

Equations with one or more expressions are rational equations. Such equations may involve additions, subtractions, multiplications, and divisions. Rational expressions are ratios of two numbers, numerator and denominator, where denominator is never zero.

Handling inequalities that involve absolute values follow the same steps for solving equations with absolute values. You can refer to our previous tutorial as a prerequisite to this lesson. However, we will again list all the steps here and use them in solving some examples.