Question

What is the solution to this equation
216 = 62x - 1

Answer 1

A. x = 2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

1. Brackets
2. Parenthesis
3. Exponents
4. Multiplication
5. Division
6. Addition
7. Subtraction

• Left to Right

Equality Properties

• Multiplication Property of Equality
• Division Property of Equality
• Addition Property of Equality

• Subtraction Property of Equality

Algebra II

• Solving exponential equations

Explanation:

Step 1: Define

Identify

`\displaystyle 216 = 6^(2x - 1)`

Step 2: Solve for x

1. Rewrite:
   `\displaystyle 6^3 = 6^(2x - 1)`
2. Set:
   `\displaystyle 3 = 2x - 1`
3. [Addition Property of Equality] Add 1 on both sides:
   `\displaystyle 4 = 2x`
4. [Division Property of Equality] Divide 2 on both sides:
   `\displaystyle 2 = x`
5. Rewrite:
   `\displaystyle x = 2`