Respuesta :
Answer:
x = 1
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
- Brackets
- Parenthesis
- Exponents
- Multiplication
- Division
- Addition
- 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
- Isolate x term: [tex]\displaystyle 2^{x+4} = 32[/tex]
- Rewrite 32: [tex]\displaystyle log_2(32) = 5[/tex]
- Rewrite equation: [tex]\displaystyle 2^{x+4} = 2^5[/tex]
- Set equal: [tex]\displaystyle x + 4 = 5[/tex]
- Isolate x: [tex]\displaystyle x = 1[/tex]