What is the answer to ln(x+10)+ln(x-3)=2ln(x) ?

The answer to ln(x+10)+ln(x-3)=2ln(x) is x= 30/7

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ln(x+10)+ln(x-3)=2ln(x)

ln (x + 10) + ln (x - 3) = 2 ln (x)

x = \frac{30}{7}

Decimal Notation

x = 4.28571 \dots

Solution steps

ln (x + 10) + ln (x - 3) = 2 ln (x)

Apply log rules

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

Solve

(x + 10) (x - 3) = x^{2} : x = \frac{30}{7}

x = \frac{30}{7}

Verify Solutions:

x = \frac{30}{7}

True

The solution is

x = \frac{30}{7}

0 = 2 ln (x)

lo g_{6} (4 x) - 4 lo g_{6} (2) = 0

- 10 + lo g_{3} (n + 3) = - 10

20 lo g_{10} (x) = 10

20 lo g_{10} (x) = 30

What is the answer to ln(x+10)+ln(x-3)=2ln(x) ?
The answer to ln(x+10)+ln(x-3)=2ln(x) is x= 30/7
Solve for x: ln(x+10)+ln(x-3)=2ln(x)
The solution is x= 30/7