Simplify/Condense

Problem

ln(3*x−5)−ln(x2+5)

Solution

1. Identify the logarithmic property for the difference of two logarithms with the same base.

2. Apply the Quotient Rule for logarithms, which states ln(a)−ln(b)=ln(a/b)

3. Substitute the expressions a=3*x−5 and b=x2+5 into the formula.

4. Combine the terms into a single natural logarithm expression.

Final Answer

ln(3*x−5)−ln(x2+5)=ln((3*x−5)/(x2+5))

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