Esercizio
$\log_b\left(\sqrt[4]{\frac{m^{16}n^{20}}{b^5c^5}}\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di equazioni trigonometriche passo dopo passo. Expand the logarithmic expression logb(((m^16*n^20)/(b^5*c^5))^(1/4)). Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=\frac{1}{4} e x=\frac{m^{16}n^{20}}{b^5c^5}. Applicare la formula: \log_{b}\left(\frac{x}{y}\right)=\log_{b}\left(x\right)-\log_{b}\left(y\right), dove x=m^{16}n^{20} e y=b^5c^5. Applicare la formula: \log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right), dove mn=m^{16}n^{20}, b,mn=b,m^{16}n^{20}, m=m^{16} e n=n^{20}. Applicare la formula: \log_{b}\left(mn\right)=\log_{b}\left(m\right)+\log_{b}\left(n\right), dove mn=b^5c^5, b,mn=b,b^5c^5, m=b^5 e n=c^5.
Expand the logarithmic expression logb(((m^16*n^20)/(b^5*c^5))^(1/4))
Risposta finale al problema
$4\log_{b}\left(m\right)+5\log_{b}\left(n\right)-\frac{5}{4}-\frac{5}{4}\log_{b}\left(c\right)$