Math Problem Statement
Solve the following equations: (a) e^(2x) − 3e^x + 2 = 0 (b) log(base2) 3 + log(base2) x = log(base2) 5 + log(base2)(x − 2)
Solution
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Math Problem Analysis
Mathematical Concepts
Exponential Equations
Logarithmic Equations
Quadratic Equations
Properties of Logarithms
Formulas
Quadratic equation: ax^2 + bx + c = 0
Logarithmic property: log_b(A) + log_b(B) = log_b(A * B)
Theorems
Quadratic Formula: x = [-b ± sqrt(b^2 - 4ac)] / 2a
Logarithmic equality: If log_b(A) = log_b(B), then A = B
Suitable Grade Level
Grades 9-11
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