# How To Solve Logarithmic Problems

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This is true with logarithms, too: If x = y, then log Another kind of exponential equation has exponential expressions on both sides.

While this change-of-base technique is not particularly useful in this case, you can see that it does work.

(Try it on your calculator, if you haven't already, so you're sure you know which keys to punch, and in which order.) You will need this technique in later problems.

In this section we will now take a look at solving logarithmic equations, or equations with logarithms in them.

We will be looking at two specific types of equations here.

## Comments How To Solve Logarithmic Problems

• ###### How to Solve Logarithmic Equations - dummies

How to Solve Logarithmic Equations. You can combine all the logs so that you have one log on the left and one log on the right, and then you can drop the log from both sides. For example, to solve log 3 x – 1 – log 3 x + 4 = log 3 5, first apply the quotient rule to get.…

• ###### SOLVING LOGARITHMIC EQUATIONS

To solve a logarithmic equation, rewrite the equation in exponential form and solve for the variable. Example 1 Solve for x in the equation Lnx=8. Solution Step 1 Let both sides be exponents of the base e. The equation Lnx=8 can be rewritten.…

• ###### Logarithmic Word Problems - Purplemath

Logarithmic Word Problems page 1 of 3 Logarithmic word problems, in my experience, generally involve evaluating a given logarithmic equation at a given point, and solving for a given variable; they're pretty straightforward. On the other hand, exponential word problems tend to be much more involved, requiring.…

• ###### Logarithmic Equation Calculator - Symbolab

Free logarithmic equation calculator - solve logarithmic equations step-by-step. Limited Storage 10 problems Practice problems limited to one per topic…

• ###### Solving Logarithmic Equations - ChiliMath

If you have a single logarithm on one side of the equation then you can express it as an exponential equation and solve. Let's learn how to solve logarithmic.…

• ###### Ways to Solve Logarithms - wikiHow

How to Solve Logarithms - Solve for X Using the Logarithmic Product Rule34 Know the product rule. Isolate the logarithm to one side of the equation. Apply the product rule. Rewrite the equation in exponential form. Solve for x. Write your answer.…

• ###### Solving Logarithmic Equations - Mesa Community College

Steps for Solving Logarithmic Equations Containing Only Logarithms Step 1 Determine if the problem contains only logarithms. If so, go to Step 2. If not, stop and use the Steps for Solving Logarithmic Equations Containing Terms without Logarithms.…

• ###### Solving Log Equations - Cool Math

This algebra lesson shows explains how to solve log logarithmic equations Exponentials & Logarithms - Cool math Algebra Help Lessons - Solving Logarithmic Equations welcome to coolmath…