Solve 9x + 4 = 11 for x using the change of base formula .




The equation \( 9x + 4 = 11 \) does not directly involve logarithms, so the change of base formula isn't applicable here. The change of base formula is typically used for logarithmic equations, not for linear equations like this one. However, I can solve the equation for \( x \) as follows:

### Steps:
1. **Isolate the term with \( x \)**:
   \[
   9x + 4 = 11
   \]
   Subtract 4 from both sides:
   \[
   9x = 11 - 4
   \]
   \[
   9x = 7
   \]

2. **Solve for \( x \)**:
   Divide both sides by 9:
   \[
   x = \frac{7}{9}
   \]

So, the solution is:
\[
x = \frac{7}{9}
\]

Let me know if you need any further details or have any questions!

---

Here are five related questions to explore further:
1. How do you solve quadratic equations using the quadratic formula?
2. What is the change of base formula and when is it used?
3. How do you solve systems of linear equations?
4. How do you solve logarithmic equations using properties of logarithms?
5. What are some methods for solving inequalities?

**Tip:** When isolating variables, remember to perform the same operation on both sides of the equation to maintain equality.

Learn how to solve the linear equation 9x + 4 = 11 step-by-step with a detailed explanation. This problem involves isolating the variable x in a linear equation, suitable for students in Grades 6-8.

Math Problem Statement

Solution

Ask a new question for Free

By Image

Math Problem Analysis

Mathematical Concepts

Formulas

Theorems

Suitable Grade Level

Related Recommendation