Esercizio
$4\log\left(x-7\right)-2\log\left(x^2+2x-63\right)+5\log\left(x+9\right)$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. Condense the logarithmic expression 4log(x+-7)-2log(x^2+2*x+-63)5log(x+9). Applicare la formula: a\log_{b}\left(x\right)=-\log_{b}\left(x^{\left|a\right|}\right), dove a=-2, b=10 e x=x^2+2x-63. Applicare la formula: a\log_{b}\left(x\right)=\log_{b}\left(x^a\right). Applicare la formula: \log_{a}\left(x\right)+\log_{a}\left(y\right)=\log_{a}\left(xy\right), dove a=10, x=\left(x-7\right)^4 e y=\left(x+9\right)^5. Applicare la formula: \log_{b}\left(x\right)-\log_{b}\left(y\right)=\log_{b}\left(\frac{x}{y}\right), dove b=10, x=\left(x-7\right)^4\left(x+9\right)^5 e y=\left(x^2+2x-63\right)^{2}.
Condense the logarithmic expression 4log(x+-7)-2log(x^2+2*x+-63)5log(x+9)
Risposta finale al problema
$\log \left(\frac{\left(x-7\right)^4\left(x+9\right)^5}{\left(\left(x-7\right)\left(x+9\right)\right)^{2}}\right)$