emily1848
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Answer:

x = 1

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

Algebra I

  • Equality Properties

Algebra II

  • Logarithms
  • Solving Exponentials

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle 2^{x+4} - 12 = 20[/tex]

Step 2: Solve for x

  1. Isolate x term:                      [tex]\displaystyle 2^{x+4} = 32[/tex]
  2. Rewrite 32:                           [tex]\displaystyle log_2(32) = 5[/tex]
  3. Rewrite equation:                [tex]\displaystyle 2^{x+4} = 2^5[/tex]
  4. Set equal:                             [tex]\displaystyle x + 4 = 5[/tex]
  5. Isolate x:                               [tex]\displaystyle x = 1[/tex]

Answer:

1

Step-by-step explanation:

1.000000

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