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Popular >

log_{3}(x^2-8x)<2

Solution

lo g_{3} (x^{2} - 8 x) < 2

Solution

- 1 < x < 0 or 8 < x < 9

+1

Interval Notation

(- 1, 0) \cup (8, 9)

Solution steps

lo g_{3} (x^{2} - 8 x) < 2

Apply log rules

x^{2} - 8 x < 9 and x^{2} - 8 x > 0

x^{2} - 8 x < 9 and x^{2} - 8 x > 0 : - 1 < x < 0 or 8 < x < 9

- 1 < x < 0 or 8 < x < 9

Popular Examples

log_{2}(1+x^{-1})+log_{1/2}((1+x)/4)>= 1

lo g_{2} (1 + x^{- 1}) + lo g_{\frac{1}{2}} (\frac{1 + x}{4}) \geq 1

x - ln (x) > 0

2 \geq 1 + ln (b)

log_{6}(x^2)>= log_{6}(9)

lo g_{6} (x^{2}) \geq lo g_{6} (9)

log_{1/2}(log_{2}(x/((1+x))))>0

lo g_{\frac{1}{2}} (lo g_{2} (\frac{x}{( 1 + x )})) > 0

Frequently Asked Questions (FAQ)

What is log_{3}(x^2-8x)<2 ?
The solution to log_{3}(x^2-8x)<2 is -1<x<0\lor 8<x<9