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Popular >

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

Solution

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

Solution

\frac{2}{3} < x < 1

+2

Interval Notation

(\frac{2}{3}, 1)

Decimal Notation

0.66666 \dots < x < 1

Solution steps

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

Apply log rules

(x - 1) (2 - 3 x) < 9 and (x - 1) (2 - 3 x) > 0

(x - 1) (2 - 3 x) < 9 and (x - 1) (2 - 3 x) > 0 : \frac{2}{3} < x < 1

\frac{2}{3} < x < 1

Popular Examples

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\frac{( ( x + h ) + 6 ) - ( x + 6 )}{h}

simplify-2/3-2/3 simplify

- \frac{2}{3} - \frac{2}{3}

simplify (5/3)/2 simplify

\frac{\frac{5}{3}}{2}

\frac{1}{3} x = 4

(x-2)^2-1-(x-3)=(2x-6)^2

(x - 2)^{2} - 1 - (x - 3) = (2 x - 6)^{2}

Frequently Asked Questions (FAQ)

What is log_{3}((x-1)(2-3x))<2 ?
The solution to log_{3}((x-1)(2-3x))<2 is 2/3 <x<1