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Popular >

log_{3}(x^2-2x)<1

Solution

lo g_{3} (x^{2} - 2 x) < 1

Solution

- 1 < x < 0 or 2 < x < 3

+1

Interval Notation

(- 1, 0) \cup (2, 3)

Solution steps

lo g_{3} (x^{2} - 2 x) < 1

Apply log rules

x^{2} - 2 x < 3 and x^{2} - 2 x > 0

x^{2} - 2 x < 3 and x^{2} - 2 x > 0 : - 1 < x < 0 or 2 < x < 3

- 1 < x < 0 or 2 < x < 3

Popular Examples

lo g_{2} (x) < x

log_{10}(((x^2-36))/((48+22x-5x^2)))>= 0

lo g_{10} (\frac{( x ^{2} - 36 )}{( 48 + 22 x - 5 x ^{2} )}) \geq 0

log_{2}(((3x-4))/((x)))>1

lo g_{2} (\frac{( 3 x - 4 )}{( x )}) > 1

log_{6}(((x-2))/((6-x)))>0

lo g_{6} (\frac{( x - 2 )}{( 6 - x )}) > 0

lo g_{3} (y) + y < 4

Frequently Asked Questions (FAQ)

What is log_{3}(x^2-2x)<1 ?
The solution to log_{3}(x^2-2x)<1 is -1<x<0\lor 2<x<3