Final answer to the problem
$\ln\left(\frac{a^3}{\sqrt{b}c}\right)$
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Step-by-step Solution
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- Scrivere come logaritmo singolo
- Prodotto di binomi con termine comune
- Metodo FOIL
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1
Apply the formula: $a\ln\left(x\right)$$=\ln\left(x^a\right)$, where $a=3$ and $x=a$
$\ln\left(a^3\right)-\frac{1}{2}\left(\ln\left(b\right)+\ln\left(c^2\right)\right)$
Learn how to solve condensare i logaritmi problems step by step online.
$\ln\left(a^3\right)-\frac{1}{2}\left(\ln\left(b\right)+\ln\left(c^2\right)\right)$
Learn how to solve condensare i logaritmi problems step by step online. Condense the logarithmic expression 3ln(a)-1/2(ln(b)+ln(c^2)). Apply the formula: a\ln\left(x\right)=\ln\left(x^a\right), where a=3 and x=a. Apply the formula: \ln\left(a\right)+\ln\left(b\right)=\ln\left(ab\right), where a=b and b=c^2. Apply the formula: a\ln\left(x\right)=-\ln\left(x^{\left|a\right|}\right), where a=-\frac{1}{2} and x=bc^2. Apply the formula: \left(ab\right)^n=a^nb^n.
Final answer to the problem
$\ln\left(\frac{a^3}{\sqrt{b}c}\right)$
