Logaritmos

 

Sea lg_a x=lny=logz -> a^lny      =a^logz        =x 

ln e^a = t → e^t = e^a-> t=a → ln e^a = a

ln e^a =e^lna=a

e^lna=t → ln a=ln t → a=t → e^lna=a

log_ae=t → a^t=e →ln a^t=lne=1->t.lna=1 →t=1/lna → log_ae= 1/lna

log_ax=t → a^t=x → ln a^t=t.lna=lnx → t=log_ax=lnx/lna