Stessa base
[1] $a^x*a^y=a^(x+y)$
[2] $a^x/a^y=a^(x-y)$
[3] $a^x+a^y...$ (non si puo' fare nulla)
[4] $a^x-a^y...$ (non si puo' fare nulla)
 
Stesso esponente
[5] $a^x*b^x=(ab)^(x)$
[6] $a^x/b^x=(a/b)^(x)$
[7] $a^x+b^x...$ (non si puo' fare nulla)
[8] $a^x-b^y...$ (non si puo' fare nulla)
Potenze frazionarie
[9] $a^(1/c)=root(c)(a)$
[10] $a^((b/c))=root(c)(a^b)$
Potenze negative
[11] $a^(-n)=1/(a^n)$
[12] $1/(a^(-x))=a^(x)$
Potenze negative frazionarie
[13] $a^(-n/y)=1/(root(y)(a^n)$
[14] $1/(root(x)(b^m))=b^(-m/x)$
Logaritmo
[15] $log_a b = x <=> a^x=b$
 
Proprieta' dei logaritmi
[16] $log_a X + log_a Y = log_a XY
[17] $log_b CD = log_b C + log_b D =
[18] $log_r X - log_r Y = log_r X/Y
[19] $log_z C/D = log_z C - log_z D =
[20] $log_x a^b = blog_x a
[21] $clog_x y = log_x y^c
[22] $log_x y = (log_a y )/(log_a x )
[23] $(log_v y )/(log_v x ) = log_x y
ESERCIZI PDF : http://seieditrice.com/schede-di-algebra/equazioni-esponenziali-e-logaritmi-schede-di-esercitazione/