# Solve the equation: log4(x + 20) = 3

A current institution question and answer inquired students to mention what they ponder is the main important element for a student to do in order for you to obtain success. Of the numerous comments, one that that stood out was practice. Successful persons are certainly not born successful; they become successful thru hard work and determination. This is how you can obtain your goals. Below are one of the answer and question example that you could certainly implement to practice and develop your information and also give you insights that might just assist you to sustain your study in school.

## Question:

Solve the equation: log4(x + 20) = 3

## Answer:

By using logarithmic properties, we will see that the solution is x = 44.

### How to solve logarithmic equations?

First, we need to remember 3 relations:

Now, our equation is:

Using the first relation, we get:

Using the third relation, we can rewrite:

Now if we use the second relation and apply the exponential function to both sides, we will get:

That is the solution to the equation.

If you want to learn more about logarithms, you can read:

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