Condensing Logarithmic Expressions. Rewrite each of the following logarithmic expressions using a single logarithm. $$ \begin{array}{ll} ext { 1. } \frac{1}{3} \log _{2} 6+\frac{1}{3} \log _{2} x+\frac{2}{3} \log _{2} y & ext { 3.) } 2 \ln (x+3)+\ln x-\ln (2 x-1)\end{array} $$

Question

Condensing Logarithmic Expressions. Rewrite each of the following logarithmic expressions using a single logarithm. $$ \begin{array}{ll}	ext { 1. } \frac{1}{3} \log _{2} 6+\frac{1}{3} \log _{2} x+\frac{2}{3} \log _{2} y & 	ext { 3.) } 2 \ln (x+3)+\ln x-\ln (2 x-1)\end{array} $$

Jimenez Ellis · Accepted Answer

1. $$ \log_{2} \left( (6xy^2)^{\frac{1}{3}} \right) $$ 2. $$ \ln \left( \frac{(x+3)^2 \cdot x}{2x-1} \right) $$

Condensing Logarithmic Expressions. Rewrite each of the following logarithmic expressions using a single logarithm. \( \begin{array}{ll}\text { 1. } \frac{1}{3} \log _{2} 6+\frac{1}{3} \log _{2} x+\frac{2}{3} \log _{2} y & \text { 3.) } 2 \ln (x+3)+\ln x-\ln (2 x-1)\end{array} \)

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Condensing Logarithmic Expressions. Rewrite each of the following logarithmic expressions using a single logarithm. \( \begin{array}{ll}\text { 1. } \frac{1}{3} \log _{2} 6+\frac{1}{3} \log _{2} x+\frac{2}{3} \log _{2} y & \text { 3.) } 2 \ln (x+3)+\ln x-\ln (2 x-1)\end{array} \)

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