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Solving a Logarithmic Equation with the Product and Power Rules

Logarithmic and exponential functions warmup

Solve the equation \( 3 \ln x = \ln 3x \) for \( x \).
algebracalculusdomain-of-logarithmequation-solvinglogarithmic-equationsnatural-logarithmprecalculusproperties-of-logarithmstranscendental-functions

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What this problem tests

Tests the ability to apply logarithmic identities (product and power rules) and to recognize domain restrictions when solving equations.

This is a standard precalculus or early calculus problem designed to test familiarity with the algebraic properties of logarithms.

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