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

The answer to 2ln(x-3)+ln(x+7)=3ln(x) is x=(33+3sqrt(93))/2

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

The solution is x=(33+3sqrt(93))/2

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

x = \frac{33 + 3 93}{2}

Decimal Notation

x = 30.96547 \dots

Solution steps

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

Apply log rules

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

Solve

(x - 3)^{2} (x + 7) = x^{3} : x = \frac{33 + 3 93}{2}, x = \frac{33 - 3 93}{2}

x = \frac{33 + 3 93}{2}, x = \frac{33 - 3 93}{2}

Verify Solutions:

x = \frac{33 + 3 93}{2}

True

, x = \frac{33 - 3 93}{2}

False

The solution is

x = \frac{33 + 3 93}{2}

y, 2 ln (y) = x^{2} + c

lo g_{10} (x) = - 2.6

x, - ln (x) = y

x^{2} - 6 x ln (x) = 0

lo g_{10} (22.46) = lo g_{10} (x)

What is the answer to 2ln(x-3)+ln(x+7)=3ln(x) ?
The answer to 2ln(x-3)+ln(x+7)=3ln(x) is x=(33+3sqrt(93))/2
Solve for x: 2ln(x-3)+ln(x+7)=3ln(x)
The solution is x=(33+3sqrt(93))/2