Math Problem Statement

Express the given quantity as a single logarithm.

1 7 ln

(x + 2)7

1 2

ln(x) − ln

(x2 + 3x + 2)2

Solution

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Math Problem Analysis

Mathematical Concepts

Logarithms
Logarithmic Properties
Simplification of Expressions

Formulas

Power Rule of Logarithms: a * ln(b^c) = c * ln(b)
Product Rule of Logarithms: ln(a) + ln(b) = ln(ab)
Quotient Rule of Logarithms: ln(a) - ln(b) = ln(a/b)

Theorems

Logarithmic Properties

Suitable Grade Level

Grades 10-12