In this article, we will learn how to solve the general two types of logarithmic equations, namely: Equations containing logarithms on one side of the equation. Equations with logarithms on opposite sides of the equal to sign. How to solve equations with logarithms on one side? Equations with logarithms on one side take log b M = n ⇒ M = b n.

Logarithmic equations – Examples with answers. The following logarithmic equation examples use the laws of logarithms and both methods detailed above. Each example has its respective answer, but it is recommended that you try to solve the exercises yourself before looking at …

Generally, there are two types of logarithmic equations. Study each case carefully before you start looking at the worked examples below. If you have a single logarithm on each side of the equation having the same base, you can set the arguments equal to each other and then solve.

Nov 16, 2022 · Let’s take a look at a couple of examples. Example 1 Solve each of the following equations. With this equation there are only two logarithms in the equation so it’s easy to get on one either side of the equal sign. We will also need to …

Jan 22, 2025 · Learn how to solve logarithmic equations with step-by-step methods, key properties, and real-world applications. Master common pitfalls and boost your math skills! Ask AI

Solving log and natural logarithmic equations in many ways. All types of log examples covered. Solving videos at the bottom of the page. Step 1: Use the properties of the logarithm to isolate the log on one side. Step 2: Apply the definition of the logarithm and rewrite it as an exponential equation. Step 3: Solve the resulting equation.

In this article, we are going to discuss the definition and formula for the logarithmic function, rules and properties, examples in detail. In mathematics, the logarithmic function is an inverse function to exponentiation. The logarithmic function is defined as. For x > 0 , a > 0, and a ≠1, y= log a x if and only if x = a y.