What is the answer to ln(x+8)+ln(x-5)=2ln(x) ?

The answer to ln(x+8)+ln(x-5)=2ln(x) is x= 40/3

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ln(x+8)+ln(x-5)=2ln(x)

ln (x + 8) + ln (x - 5) = 2 ln (x)

x = \frac{40}{3}

Decimal Notation

x = 13.33333 \dots

Solution steps

ln (x + 8) + ln (x - 5) = 2 ln (x)

Apply log rules

(x + 8) (x - 5) = x^{2}

Solve

(x + 8) (x - 5) = x^{2} : x = \frac{40}{3}

x = \frac{40}{3}

Verify Solutions:

x = \frac{40}{3}

True

The solution is

x = \frac{40}{3}

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

e^{3 l n (x)} = x^{3}

lo g_{5} (x + 5) - lo g_{5} (x - 1) = 2

lo g_{10} (x + 3) - lo g_{10} (x) = 1

lo g_{2 x + 1} (2 x^{2} + 10 x - 3) = 2

What is the answer to ln(x+8)+ln(x-5)=2ln(x) ?
The answer to ln(x+8)+ln(x-5)=2ln(x) is x= 40/3
Solve for x: ln(x+8)+ln(x-5)=2ln(x)
The solution is x= 40/3