Als   log xy + log yz + log zx = 10

Dan is   log xyz   gelijk aan

( Briggse logaritmen ; x,y,z > 0 ) 		A.   v10
B.   100
C.   10op3
D.  
E.   5
A    B    C    D    E 

[ 6-6322 - op net sinds 30.5.13-(E)-27.10.2023 ]

Translation in   E N G L I S H

If   log (xy) + log (yz) + log (zx) = 10
then   log (xyz)   equals 		A.   v10
B.   100
C.   10op3
D.  
E.   5

Oplossing - Solution

log xy + log yz + log zx = 10
==> log (xy.yz.zx) = 10
==> log (x²y²z²) = 10
==> log (xyz)² = 10
==> 2 log (xyz) = 10
==> log (xyz) = . . .