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Popular >

log_{10}(x^2-1)>0

Solution

lo g_{10} (x^{2} - 1) > 0

Solution

x < - 2 or x > 2

+2

Interval Notation

(- \infty, - 2) \cup (2, \infty)

Decimal Notation

x < - 1.41421 \dots or x > 1.41421 \dots

Solution steps

lo g_{10} (x^{2} - 1) > 0

Apply log rules

x^{2} - 1 > 1

x^{2} - 1 > 1 : x < - 2 or x > 2

x < - 2 or x > 2

Popular Examples

ln (x) \leq x - 1

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

\frac{( lo g _{2} ( x + 1 ) )}{( x - 1 )} > 0

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

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

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

Frequently Asked Questions (FAQ)

What is log_{10}(x^2-1)>0 ?
The solution to log_{10}(x^2-1)>0 is x<-sqrt(2)\lor x>sqrt(2)