1. Limited time only! Sign up for a free 30min personal tutor trial with Chegg Tutors
    Dismiss Notice
Dismiss Notice
Join Physics Forums Today!
The friendliest, high quality science and math community on the planet! Everyone who loves science is here!

If: 1^x=1^y and as: 1^2=1^99 then: 1=99

  1. Aug 1, 2005 #1
    if:
    1^x=1^y
    and as:
    1^2=1^99
    then:
    1=99
     
  2. jcsd
  3. Aug 1, 2005 #2

    arildno

    User Avatar
    Science Advisor
    Homework Helper
    Gold Member
    Dearly Missed

    Why do think this is true?

    Since 1*0=99*0, do you consider this as proof of your assertion as well?
     
    Last edited: Aug 1, 2005
  4. Aug 1, 2005 #3
    The log of your equation would beg to differ... EDIT: except you consistently used 1, not a variable. Duh! Mondays are rubbish. Anyway, shouldn't that read 2 = 99?
     
    Last edited: Aug 1, 2005
  5. Aug 1, 2005 #4

    VietDao29

    User Avatar
    Homework Helper

    I dunno if it's a joke or not.
    If you have a function f(x) such that [itex]f(x_0) \neq f(x_1)[/itex], for all [itex]x_0 \neq x_1[/itex]. Just in that case, you will have [itex]f(x) = f(y) \Leftrightarrow x = y[/itex]
    Some function like :f(x) = 0x, f(x) = 1 ^ x, f(x) = x ^ 0 ([itex]x \in \mathbb{R} - \{ 0 \}[/itex]). You cannot have [itex]f(x) = f(y) \Leftrightarrow x = y[/itex]. Why? Because in that 3 examples:
    [itex]\forall x, f(x) = const[/itex]
    Viet Dao,
     
    Last edited: Aug 1, 2005
  6. Aug 1, 2005 #5

    Alkatran

    User Avatar
    Science Advisor
    Homework Helper

    sin(0) = sin(2 pi)

    Oh no! 2 pi = 0, meaning pi = 0, which means circles don't exist!

    If only there was a flaw in the logic...
     
  7. Aug 1, 2005 #6

    Gokul43201

    User Avatar
    Staff Emeritus
    Science Advisor
    Gold Member

    LHS = 1*1 = 1
    RHS = 1*1*1* ...(ninety five times) *1 = 1
    LHS = 1 = RHS

    How do you go from line (1) to line (2) ?

    nabodit : If you have a question to ask, ask it now.
     
  8. Aug 1, 2005 #7
    Reading this really brightened up my day. :rofl:
     
Know someone interested in this topic? Share this thread via Reddit, Google+, Twitter, or Facebook




Similar Discussions: If: 1^x=1^y and as: 1^2=1^99 then: 1=99
  1. Does .99~ = 1 (Replies: 19)

  2. .99~ = 1 (revisted) (Replies: 35)

  3. 3x + 1 - x - 1 = 2 (Replies: 12)

  4. .99 = 1? (Replies: 13)

  5. Area of y=x^2 at x=1 (Replies: 17)

Loading...