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Popular >

1-4ln(x)<17

Solution

1 - 4 ln (x) < 17

Solution

x > \frac{1}{e ^{4}}

+2

Interval Notation

(\frac{1}{e ^{4}}, \infty)

Decimal Notation

x > 0.01831 \dots

Solution steps

1 - 4 ln (x) < 17

Move

1

to the right side

- 4 ln (x) < 16

Multiply both sides by

- 1

4 ln (x) > - 16

Divide both sides by

4

ln (x) > - 4

Apply log rules

x > \frac{1}{e ^{4}}

Popular Examples

lo g_{4} (x) < 0

(log_{10}(0.5x))^2+log_{10}(0.5x)-2<= 0

(lo g_{10} (0.5 x))^{2} + lo g_{10} (0.5 x) - 2 \leq 0

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

lo g_{\frac{1}{2}} (x^{2} - 1) \geq lo g_{\frac{1}{2}} (3 x)

3x+1<2*log_{2}(x+4)

3 x + 1 < 2 \cdot lo g_{2} (x + 4)

log_{10}(x-2)(3x^2-x-1)>0

lo g_{10} (x - 2) (3 x^{2} - x - 1) > 0

Frequently Asked Questions (FAQ)

What is 1-4ln(x)<17 ?
The solution to 1-4ln(x)<17 is x> 1/(e^4)