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Popular >

log_{2}(x-1)>-1

Solution

lo g_{2} (x - 1) > - 1

Solution

x > \frac{3}{2}

+2

Interval Notation

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

Decimal Notation

x > 1.5

Solution steps

lo g_{2} (x - 1) > - 1

Apply log rules

x - 1 > \frac{1}{2}

Move

1

to the right side

x > \frac{3}{2}

Popular Examples

log_{x-2}(3x^2-x-1)>0

lo g_{x - 2} (3 x^{2} - x - 1) > 0

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

lo g_{4} (x^{2} + 2 x) > lo g_{2} (x - 4)

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

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

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

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

(\frac{1}{2})^{l o g_{2} (x^{2} - 1)} > 1

Frequently Asked Questions (FAQ)

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