Math Problem Statement
Solve each equation for x. Give both an exact value and a decimal approximation, correct to three decimal places. (Enter your answers as comma-separated lists.) (a) log_2(x^2 − x − 4) = 2 exact value = decimal approximation =
Solution
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Math Problem Analysis
Mathematical Concepts
Algebra
Logarithmic Functions
Quadratic Equations
Formulas
log_b(A) = C ⟹ A = b^C
Quadratic equation formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a
Theorems
Properties of logarithms
Quadratic formula
Suitable Grade Level
Grades 10-12