What is the answer to 2ln(x-4)+ln(x+9)=3ln(x) ?

The answer to 2ln(x-4)+ln(x+9)=3ln(x) is x=4(7+2sqrt(10))

Solve for x: 2ln(x-4)+ln(x+9)=3ln(x)

The solution is x=4(7+2sqrt(10))

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2 ln (x - 4) + ln (x + 9) = 3 ln (x)

x = 4 (7 + 210)

Solution steps

2 ln (x - 4) + ln (x + 9) = 3 ln (x)

Apply log rules

(x - 4)^{2} (x + 9) = x^{3}

Solve

(x - 4)^{2} (x + 9) = x^{3} : x = 4 (7 + 210), x = 4 (7 - 210)

x = 4 (7 + 210), x = 4 (7 - 210)

Verify Solutions:

x = 4 (7 + 210)

True

, x = 4 (7 - 210)

False

The solution is

x = 4 (7 + 210)

\frac{x + n}{2 ln ( x ) - n} = 0

lo g_{3} (9 x) + lo g_{3} (8) = 5

lo g_{6} (x + 7) + lo g_{6} (x + 4) = 2

50 = - 22.985 ln (x) + 139.23

lo g_{1000} (a) = \frac{1}{3}

What is the answer to 2ln(x-4)+ln(x+9)=3ln(x) ?
The answer to 2ln(x-4)+ln(x+9)=3ln(x) is x=4(7+2sqrt(10))
Solve for x: 2ln(x-4)+ln(x+9)=3ln(x)
The solution is x=4(7+2sqrt(10))