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

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

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

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

x = \frac{8}{3}

Decimal

x = 2.66666 \dots

Solution steps

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

Apply log rules

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

Solve

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

x = \frac{8}{3}

Verify Solutions:

x = \frac{8}{3}

True

The solution is

x = \frac{8}{3}

x, lo g_{10} (x) = 0.3293

y, ln (5 y) = x

ln (2 x^{2} + 7) = 9

ln (e + x) = 1

5 ln (8 x + 10) - 16 = 19

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