Question
Answer
$$ln\cdot(1+x)=lnx+ln$$
Explanation
Tap the blue circles to see an explanation.
| $$ \begin{aligned}ln\cdot(1+x)& \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle1}{\textcircled {1}} } }}}ln+lnx \xlongequal{ } \\[1 em] & \xlongequal{ \color{blue}{ \text{\normalsize{ \htmlClass{explanationCircle explanationCircle2}{\textcircled {2}} } }}}lnx+ln\end{aligned} $$ | |
| ① | Multiply $ \color{blue}{ln} $ by $ \left( 1+x\right) $ $$ \color{blue}{ln} \cdot \left( 1+x\right) = ln+lnx $$ |
| ② | Combine like terms: $$ lnx+ln = lnx+ln $$ |
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Simplify Rational Expressions