Esercizio
$\log_{c^7}\left(\frac{x^9}{y^7z^3}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Expand the logarithmic expression logc^7((x^9)/(y^7*z^3)). Applicare la formula: \log_{b}\left(\frac{x}{y}\right)=\log_{b}\left(x\right)-\log_{b}\left(y\right), dove b=c^7, x=x^9 e y=y^7z^3. Applicare la formula: \log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right), dove mn=y^7z^3, b=c^7, b,mn=c^7,y^7z^3, m=y^7 e n=z^3. Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=9 e b=c^7. Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=7, b=c^7 e x=y.
Expand the logarithmic expression logc^7((x^9)/(y^7*z^3))
Risposta finale al problema
$9\log_{c^7}\left(x\right)-7\log_{c^7}\left(y\right)-3\log_{c^7}\left(z\right)$