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Exercise

$\ln\left(x+15\right)-\ln\left(3-2x\right)$

Step-by-step Solution

1

Wenden Sie die Formel an: $\ln\left(a\right)-\ln\left(b\right)$$=\ln\left(\frac{a}{b}\right)$, wobei $a=x+15$ und $b=3-2x$

$\ln\left(\frac{x+15}{3-2x}\right)$

Final answer to the exercise

$\ln\left(\frac{x+15}{3-2x}\right)$

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Main Topic: Condensing Logarithms

Combining or condensing logarithms consists of rewriting a mathematical expression with several logarithms into a single logarithm, by applying the properties of logarithms.

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