What is the answer to ln(x-3)+ln(x-5)=ln(x+6) ?

The answer to ln(x-3)+ln(x-5)=ln(x+6) is x=(9+3sqrt(5))/2

Solve for x: ln(x-3)+ln(x-5)=ln(x+6)

The solution is x=(9+3sqrt(5))/2

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ln (x - 3) + ln (x - 5) = ln (x + 6)

x = \frac{9 + 3 5}{2}

Solution steps

ln (x - 3) + ln (x - 5) = ln (x + 6)

Apply log rules

(x - 3) (x - 5) = x + 6

Solve

(x - 3) (x - 5) = x + 6 : x = \frac{9 + 3 5}{2}, x = \frac{9 - 3 5}{2}

x = \frac{9 + 3 5}{2}, x = \frac{9 - 3 5}{2}

Verify Solutions:

x = \frac{9 + 3 5}{2}

True

, x = \frac{9 - 3 5}{2}

False

The solution is

x = \frac{9 + 3 5}{2}

0.36 = ln (x)

1 = - 1 - 5 \cdot ln (x)

D = 10 lo g_{10} (1 + \frac{a}{r})

lo g_{10} (5 x + 20) = 3

x, y = ln (x)

What is the answer to ln(x-3)+ln(x-5)=ln(x+6) ?
The answer to ln(x-3)+ln(x-5)=ln(x+6) is x=(9+3sqrt(5))/2
Solve for x: ln(x-3)+ln(x-5)=ln(x+6)
The solution is x=(9+3sqrt(5))/2