Question

show that \[(x \log_{10} (y/z)). (y \log \log_{10}(z/x)) .(z \log_{10}(x/y))=1 \]

Answer 1

there must be only one log in middle term

Answer 2

yes...it is one log...sorry by mistake wrote two

Answer 3

i am not getting the answer..please help

Answer 4

@mathslover @ajprincess

Answer 5

are you sure you wrote it correctly?
this identity is false..counter-example, let x=y=z=1, then left side is 0

Answer 6

there is one log in middle term.......

Answer 7

ohk.. that makes some sense now :)

but still if we let x=y=z=1, then left side is 0. so its a false identity

Answer 8

log(1) = 0