What is the answer to ln(2+x)-ln(x)=2ln^3(x) ?

The answer to ln(2+x)-ln(x)=2ln^3(x) is No Solution for x\in\mathbb{R}

Solve for x: ln(2+x)-ln(x)=2ln^3(x)

The solution is No Solution for x\in\mathbb{R}

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ln (2 + x) - ln (x) = 2 ln^{3} (x)

No Solution for x \in R

Solution steps

ln (2 + x) - ln (x) = 2 ln^{3} (x)

Add

ln (x)

to both sides

ln (2 + x) - ln (x) + ln (x) = 2 ln^{3} (x) + ln (x)

Simplify

ln (2 + x) = 2 ln^{3} (x) + ln (x)

Apply log rules

2 + x = x^{3}

Solve

2 + x = x^{3} : x \approx 1.52137 \dots

x \approx 1.52137 \dots

Verify Solutions:

x \approx 1.52137 \dots

False

The solution is

No Solution for x \in R

2^{l o g_{3} (x)} = x^{l o g_{3} (2)}, x > 0

a, ln (8 a) = 2 ln (a + 2 b) - ln (b)

a, lo g_{3} (a) + 1 = 2 lo g_{10} (9) (b)

lo g_{10} (x + 2) - lo g_{10} (9) = lo g_{10} (15)

lo g_{10} (x) = - 1

What is the answer to ln(2+x)-ln(x)=2ln^3(x) ?
The answer to ln(2+x)-ln(x)=2ln^3(x) is No Solution for x\in\mathbb{R}
Solve for x: ln(2+x)-ln(x)=2ln^3(x)
The solution is No Solution for x\in\mathbb{R}