Question

X,y,m,n are real numbers that:
2^x.3^y=2^m.3^n
Prove x=m and y=n

Answer 1

i don't know !! it's trivial

Answer 2

Can you help me prove this execrise.

Answer 3

is this the question ?
\[2^x. 3^y = 2^m. 3^n\]

Answer 4

Not sure if this is a trick question or not, but by using properties of index laws. We can say that if a particular "base" and it's exponential is equal to some unknown variable. I think you can say that in this example, that:

2^x.3^y = 2^m.3^n
x = m
and
y = n

Provided that you say, by Index laws...

Answer 5

@FireKat97: yes