Esercizio
$log7\left(log5\left(log2\left(x\:+\:3\right)\right)\right)\:=\:0\:$
Soluzione passo-passo
Impara online a risolvere i problemi di passo dopo passo. log7(logn(5,logn(2,x+3)))=0. Applicare la formula: \log_{b}\left(x\right)=a\to \log_{b}\left(x\right)=\log_{b}\left(b^a\right), dove a=0, b=7, x=\log_{5}\left(\log_{2}\left(x+3\right)\right) e b,x=7,\log_{5}\left(\log_{2}\left(x+3\right)\right). Applicare la formula: \log_{a}\left(x\right)=\log_{a}\left(y\right)\to x=y, dove a=7, x=\log_{5}\left(\log_{2}\left(x+3\right)\right) e y=1. Applicare la formula: \log_{a}\left(x\right)=\frac{\log \left(x\right)}{\log \left(a\right)}, dove a=5 e x=\log_{2}\left(x+3\right). Applicare la formula: \frac{x}{a}=b\to x=ba, dove a=\log \left(5\right), b=1 e x=\log \left(\log_{2}\left(x+3\right)\right).
log7(logn(5,logn(2,x+3)))=0
Risposta finale al problema
$x=29$