x.y.z= ?

2^x=3
3^y=5
5^z=8 olduguna göre x.y.z = kaçtr?

2^x=3 3^y=5 5^z=8 taraf tarafa çarparsak
2^x.3^y.5^z=3.5.8=2³.3.5
buradan x=3 y=1 z=1 olur x.y.z=3.1.1=3

https://chart.apis.google.com/chart?...%5E%7Bz%7D%3D8
https://chart.apis.google.com/chart?...%5E%7Bz%7D%3D8
https://chart.apis.google.com/chart?...%5E%7Bz%7D%3D8
https://chart.apis.google.com/chart?...E%7Bxyz%7D%3D8

https://chart.apis.google.com/chart?...%3D2%5E%7B3%7D
xyz=3 olur

ya da her iki tarafın log alınarak yapılırsa;
x=log3/log2
y=log5/log3
z=log8/log5
xyz=log8/log2
bu da;
2^(xyz)=8=2³
xyz=3 bulunur.