8

Part of 2006 ISI B.Stat Entrance Exam

Problems(1)

Solve log[base 2] x=cx

Source: ISI (BS) 2006 #8

Show that there exists a positive real number

x\neq 2

\log_2x=\frac{x}{2}

. Hence obtain the set of real numbers

c

\frac{\log_2x}{x}=c

has only one real solution.

logarithmslimitalgebra proposedalgebra