Question

let a,b,c be three positive real numbers such that abc is not equal to 1, (ab)^2=(bc)^4=(ca)^x=abc, then x=?

Answer 1

Answer:

Hope this image helps you...Br brainly

Answer 2

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Taking logarithm gives:

2(loga+logb)=4(logb+logc)=x(logc+loga)=loga+logb+logc

then taking,

2(loga+logb)=loga+logb+logc

and

4(logb+logc)=loga+logb+logc

we would get loga+logb−logc=0 &

3logb+3logc−loga=0 and by solving these two equations we get

log b = −log c

similarly log a= −log b then the solution becomes obvious......as x=1/2