Question

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

Answer 1

Answer:

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

Step-by-step 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:                                                                                                             $\displaystyle x = 2$