Скачать или смотреть Solve a Logarithmic Equation Using Properties of Equality | MathRescue h

In this video, we solve the logarithmic equation log₃(x² − 5x + 6) = log₃(2x) step by step 📘 using properties of equality. When two logarithms have the same base, we can set their arguments equal and solve the resulting algebraic equation.

We rewrite the equation as x² − 5x + 6 = 2x, simplify to form a quadratic, and factor using the Zero Product Property. You’ll see how solving log equations often turns into familiar algebra once the logs are removed correctly.

This is a core Algebra 2 skill and appears frequently on tests and homework. Understanding when and why you can equate the arguments makes logarithmic equations much more manageable.

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