How to Simplify log₅(∛5 · √5) | Logarithm Properties Explained!

In this quick video, we walk through how to solve and simplify a logarithmic expression step-by-step: log₅(∛5 · √5).

We will break down how to convert radicals into rational exponents, multiply terms with the same base by adding their exponents, and finally apply the logarithmic Power Rule to find the final answer.

📝 Step-by-Step Breakdown:

Convert the cube root and square root to exponents: ∛5 = 5^(1/3) and √5 = 5^(1/2).

Use the exponent rule to add the fractions: 1/3 + 1/2 = 5/6.

Apply the Logarithm Power Rule: log_b(b^x) = x to get the final answer: 5/6.

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Видео How to Simplify log₅(∛5 · √5) | Logarithm Properties Explained! канала Solvology