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Komok [63]
3 years ago
14

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

Mathematics
1 answer:
Verizon [17]3 years ago
3 0

Answer:

A. x = 2

General Formulas and Concepts:

<u>Pre-Algebra</u>

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<u>  </u>

<u>Algebra II</u>

  • Solving exponential equations

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

<em />\displaystyle 216 = 6^{2x - 1}<em />

<em />

<u>Step 2: Solve for </u><em><u>x</u></em>

  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
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