Home
Class 12
MATHS
Which of the following is not true for e...

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`
Promotional Banner

Topper's Solved these Questions

  • THEORY OF EQUATIONS

    CENGAGE|Exercise Multiple Correct Answer|6 Videos

  • THEORY OF EQUATIONS

    CENGAGE|Exercise Comprehension|12 Videos

  • STRAIGHT LINES

    CENGAGE|Exercise JEE Advanced Previous Year|4 Videos

  • THREE DIMENSIONAL GEOMETRY

    CENGAGE|Exercise Question Bank|20 Videos

Similar Questions

Explore conceptually related problems

Which of the following equations has roots-2 and 7?

Which of the following equations has 2 as a root?

Which of the following equations has roots 3 and 5,

The equation 2x^(2)+3x+1=0 has an irrational root.

If p and q are odd integers, then the equation x^2+2px+2q=0 (A) has no integral root (B) has no rational root (C) has no irrational root (D) has no imaginary root

Which of the following equations has roots as a,b and c ?

Which of the following equations has the sum of the roots -5 ?

The roots of the equation log2(x^(2)-4x+5)=(x-2) are

The equation e^(sinx)-e^(-sinx)-4=0 has (A) non real roots (B) integral roots (C) rational roots (D) real and unequal roots