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Popular >

ln(e^x-1)>0

Solution

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

Solution

x > ln (2)

+2

Interval Notation

(ln (2), \infty)

Decimal Notation

x > 0.69314 \dots

Solution steps

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

Apply log rules

e^{x} - 1 > 1

e^{x} - 1 > 1 : x > ln (2)

x > ln (2)

Popular Examples

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)

lo g_{3} (x) > - 9

Frequently Asked Questions (FAQ)

What is ln(e^x-1)>0 ?
The solution to ln(e^x-1)>0 is x>ln(2)