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Which of the following is not true for equation `x^(2)log8-xlog5=2(log2)-x` (A) equation has one integral root (B) equation has no irrational roots (C) equation has rational roots (D) none of these

A

equation has one integral root

B

equation has no irrational roots

C

equation has rational roots

D

none of these

Text Solution

Verified by Experts

The correct Answer is:
D
`(d)` `3x^(2)log2-x(1-log2)=2log2-x` (here base of `log` is `'2'`)
`3x^(2)log2-x+xlog2=2log2-x`
`:. 3x^(2)+x-2=0`
`:. (3x-2)(x+1)=0`
`implies x=-1,2//3`
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