Problem / game
First name
Tiffany Wong
School
Cardiff Sixth Form College
Country
Age
17
How many log81 3 do you need to add together to make one?
4
=81 is 3^4
Can we choose integers x and y so that:
How many different ways are there to do this?
(1) log6x+log6y=1?
x/y : (2,3) and (1,6)
(2) How about using log12?
x/y; (12,1) , (2,6) , (3,4)
(3) How about using log24?
x/y: (1,24) , (2,12) , (3,8) , (4,6)
=the product of x and y should be equals to the base. Such as (3) log24 1 + log 24 24 =1