Esercizio
$\frac{1}{2}\log\left(z\right)+\frac{3}{2}\log\left(y\right)-2\log\left(z+6\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Condense the logarithmic expression 1/2log(z)+3/2log(y)-2log(z+6). Applicare la formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right). Applicare la formula: \log_{b}\left(x^a\right)=a\log_{b}\left(x\right), dove a=\frac{1}{2}, b=10 e x=z. Applicare la formula: a\log_{b}\left(x\right)=-\log_{b}\left(x^{\left|a\right|}\right), dove a=-2, b=10 e x=z+6. Applicare la formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right).
Condense the logarithmic expression 1/2log(z)+3/2log(y)-2log(z+6)
Risposta finale al problema
$\log \left(\frac{\sqrt{z}\sqrt{y^{3}}}{\left(z+6\right)^{2}}\right)$