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

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## Question:

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

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.