Esercizio
$log\left(\frac{a^2}{b^4\sqrt{c}}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di espansione dei logaritmi passo dopo passo. Expand the logarithmic expression log((a^2)/(b^4*c^(1/2))). Applicare la formula: \log_{b}\left(\frac{x}{y}\right)=\log_{b}\left(x\right)-\log_{b}\left(y\right), dove b=10, x=a^2 e y=b^4\sqrt{c}. Applicare la formula: \log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right), dove mn=b^4\sqrt{c}, b=10, b,mn=10,b^4\sqrt{c}, m=b^4 e n=\sqrt{c}. Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=2, b=10 e x=a. Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=4, b=10 e x=b.
Expand the logarithmic expression log((a^2)/(b^4*c^(1/2)))
Risposta finale al problema
$2\log \left(a\right)-4\log \left(b\right)-\frac{1}{2}\log \left(c\right)$