Esercizio
$log\:b\sqrt[6]{\frac{x^5}{y^6z^7}}$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Expand the logarithmic expression log(b*((x^5)/(y^6*z^7))^(1/6)). Applicare la formula: \log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right), dove mn=b\sqrt[6]{\frac{x^5}{y^6z^7}}, b=10, b,mn=10,b\sqrt[6]{\frac{x^5}{y^6z^7}}, m=b e n=\sqrt[6]{\frac{x^5}{y^6z^7}}. Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=\frac{1}{6}, b=10 e x=\frac{x^5}{y^6z^7}. Applicare la formula: \log_{b}\left(\frac{x}{y}\right)=\log_{b}\left(x\right)-\log_{b}\left(y\right), dove b=10, x=x^5 e y=y^6z^7. Applicare la formula: \log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right), dove mn=y^6z^7, b=10, b,mn=10,y^6z^7, m=y^6 e n=z^7.
Expand the logarithmic expression log(b*((x^5)/(y^6*z^7))^(1/6))
Risposta finale al problema
$\log \left(b\right)+\frac{5}{6}\log \left(x\right)-\log \left(y\right)-\frac{7}{6}\log \left(z\right)$