Find the square of the sum of the roots of the eqn
log_{3}x .log_{4}x.log_{5}x=log_{3}x.log_{4}x+log_{4}x.log_{5}x+log_{3}xlog_{5}x
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3 Answers
62t^3/(abc)=t^2/(ab)+t^2/(ac)+t^2/(bc)
so t=0 or
t=a+b+c
so log x=0 ie x=1
or log x = log 3+log 4+log 5
or x=60