Condense the expression to the logarithm of a single quantity. Log x - 3log(x + 1) A)3log(x(x + 1)) B) $3 \log \frac { x } { ( x + 1 ) }$ C) $\log \frac { x } { ( x + 1 ) ^ { 3 } }$ D)log(x(x + 1)³) E) $\frac { 1 } { 3 } \log \frac { x } { ( x + 1 ) }$

Question

Quizplus · Accepted Answer

The expression can be simplified using the logarithm properties: $\log a - \log b = \log \frac{a}{b}$ and $n \log a = \log a^n$. Applying these, we get $\log x - 3\log(x + 1) = \log \frac{x}{(x + 1)^3}$.

Condense the Expression to the Logarithm of a Single Quantity 3log⁡x(x+1)3 \log \frac { x } { ( x + 1 ) }3log(x+1)x​

Condense the Expression to the Logarithm of a Single Quantity $3 \log \frac { x } { ( x + 1 ) }$