square of sum

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

3 Answers

1
pandit ·

x=3*4*5=60

1
ajit kumar ·

[7]

62
Lokesh Verma ·

t^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

Your Answer

Close [X]