Esercizio
$\log\left(z^3\sqrt{x^5y}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Expand the logarithmic expression log(z^3*(x^5*y)^(1/2)). Applicare la formula: \log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right), dove mn=z^3\sqrt{x^5y}, b=10, b,mn=10,z^3\sqrt{x^5y}, m=z^3 e n=\sqrt{x^5y}. Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=3, b=10 e x=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=x^5y. Applicare la formula: \log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right), dove mn=x^5y, b=10, b,mn=10,x^5y, m=x^5 e n=y.
Expand the logarithmic expression log(z^3*(x^5*y)^(1/2))
Risposta finale al problema
$3\log \left(z\right)+\frac{5}{2}\log \left(x\right)+\frac{1}{2}\log \left(y\right)$