SOLUTION: I'm a bit confused about this problem. Can you please help me solve it. Show that if {{{ a^x = b^y = (ab)^xy }}} ,then x + y = 1

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: I'm a bit confused about this problem. Can you please help me solve it. Show that if {{{ a^x = b^y = (ab)^xy }}} ,then x + y = 1       Log On


   

Question 1080917: I'm a bit confused about this problem. Can you please help me solve it.
Show that if +a%5Ex+=+b%5Ey+=+%28ab%29%5Exy+ ,then x + y = 1

Answer by ikleyn(52803) About Me  (Show Source):
You can put this solution on YOUR website!
.
See the solution at this link
https://math.stackexchange.com/questions/258332/prove-that-if-ax-by-abxy-then-xy-1-using-logarithms

https://math.stackexchange.com/questions/258332/prove-that-if-ax-by-abxy-then-xy-1-using-logarithms