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If (log)4A=(log)6B=(log)9(A+B),t h e n ...

If `(log)_4A=(log)_6B=(log)_9(A+B),t h e n` `[4(B/A)]` (where [ ] represents the greatest integer function) equals ..............

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`log_4^A=log_6^B=log_9^(A+B)=x`
`A=4^x,B=6^x,A+B=9^x`
`4^x+6^x=9^x`
`3^(2x)-2^x*3^x-2^(2x)=0`
`(3/2)^(2x)-(3/2)^x-1=0`
`(3/2)^x=(1pmsqrt(1+4))/2=(1+sqrt5)/2`
`(4B/A)=[2(1+sqrt5)]`
`=[2(1+2.23)]`
...
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