Esercizio
$\log\:\left(\frac{\sqrt{y}}{x^4\sqrt[3]{z}}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Expand the logarithmic expression log((y^(1/2))/(x^4*z^(1/3))). Applicare la formula: \log_{b}\left(\frac{x}{y}\right)=\log_{b}\left(x\right)-\log_{b}\left(y\right), dove b=10, x=\sqrt{y} e y=x^4\sqrt[3]{z}. Applicare la formula: \log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right), dove mn=x^4\sqrt[3]{z}, b=10, b,mn=10,x^4\sqrt[3]{z}, m=x^4 e n=\sqrt[3]{z}. Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=\frac{1}{2}, b=10 e x=y. Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=4 e b=10.
Expand the logarithmic expression log((y^(1/2))/(x^4*z^(1/3)))
Risposta finale al problema
$\frac{1}{2}\log \left(y\right)-4\log \left(x\right)-\frac{1}{3}\log \left(z\right)$