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Rewrite the expression ln3x−4x+2 as a sum, difference, or product of logarithms, and simplify if possible.

Rewrite the expression ln3x−4x+2 as a sum, difference, or product of logarithms, and-example-1
User Hatboyzero
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By logarithm quotient rule, it is define as:


\ln \mleft((x)/(y)\mright)=\ln (x)-\ln (y)

Based on the given problem:


\begin{gathered} \ln \mleft((3x-4)/(x+2)\mright) \\ \text{The numerator is }3x-4 \\ \text{and the denominator is }x+2 \end{gathered}

Therefore, we could rewrite it as


\ln \mleft((3x-4)/(x+2)\mright)=\ln (3x-4)-\ln (x+2)

User SilentCry
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