What is the answer to 2ln(x-1)+ln(x+7)=3ln(x) ?

The answer to 2ln(x-1)+ln(x+7)=3ln(x) is x=(13+sqrt(29))/(10)

Solve for x: 2ln(x-1)+ln(x+7)=3ln(x)

The solution is x=(13+sqrt(29))/(10)

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2 ln (x - 1) + ln (x + 7) = 3 ln (x)

x = \frac{13 + 29}{10}

Decimal Notation

x = 1.83851 \dots

Solution steps

2 ln (x - 1) + ln (x + 7) = 3 ln (x)

Apply log rules

(x - 1)^{2} (x + 7) = x^{3}

Solve

(x - 1)^{2} (x + 7) = x^{3} : x = \frac{13 + 29}{10}, x = \frac{13 - 29}{10}

x = \frac{13 + 29}{10}, x = \frac{13 - 29}{10}

Verify Solutions:

x = \frac{13 + 29}{10}

True

, x = \frac{13 - 29}{10}

False

The solution is

x = \frac{13 + 29}{10}

lo g_{4} (\frac{1}{2} x + 1) = 3.2

lo g_{10} (x) = 5.48

lo g_{3} (x^{3}) - lo g_{3} (9 x) = 2

lo g_{10} (2 x + 2) = 2

ln (x) = 0.2

What is the answer to 2ln(x-1)+ln(x+7)=3ln(x) ?
The answer to 2ln(x-1)+ln(x+7)=3ln(x) is x=(13+sqrt(29))/(10)
Solve for x: 2ln(x-1)+ln(x+7)=3ln(x)
The solution is x=(13+sqrt(29))/(10)