du brauchst die Formeln:
log(a·b) = log(a) + log(b) , log(a/b) = log(a)- log(b) ,
log(ar ) = r · log(a) und n√a = a1/n
a)
log( √c ) + log( 3√d ) = log( c1/2 ) + log( d1/3 )
= 1/2 · log( c ) + 1/3 · log( d )
b)
log( a1/2) - log( b2/3 ) = 1/2 · log( a ) - 2/3 · log( b )
c)
log(x2-y2) - log(z2) = log( (x-y) · (x+y) ) - log(z2)
= log(x-y) + log(x+y) - 2 · log(z)
d)
1/2 · [ log(r+s) - 2· log(r-s) ] = 1/2 · log(r+s) - log(r-s)
Gruß Wolfgang