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Popular >

ln(x-1)>=-1

Solution

ln (x - 1) \geq - 1

Solution

x \geq \frac{1}{e} + 1

+2

Interval Notation

[\frac{1}{e} + 1, \infty)

Decimal Notation

x \geq 1.36787 \dots

Solution steps

ln (x - 1) \geq - 1

Apply log rules

x - 1 \geq \frac{1}{e}

Move

1

to the right side

x \geq \frac{1}{e} + 1

Popular Examples

ln (e^{x} - 1) > 0

log_{3}(log_{10}(3x))<log_{3}(81)

lo g_{3} (lo g_{10} (3 x)) < lo g_{3} (81)

log_{2}(x^2+3x+2)<= 1

lo g_{2} (x^{2} + 3 x + 2) \leq 1

log_{2}(2+3x)<= 4

lo g_{2} (2 + 3 x) \leq 4

log_{2}(x)+log_{2}(x-1)>log_{2}(x+3)

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

Frequently Asked Questions (FAQ)

What is ln(x-1)>=-1 ?
The solution to ln(x-1)>=-1 is x>= 1/e+1