What is the answer to 2ln(x)-ln(x+5)+ln(3)=ln(x) ?

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

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2ln(x)-ln(x+5)+ln(3)=ln(x)

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

x = \frac{5}{2}

Decimal Notation

x = 2.5

Solution steps

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

Apply log rules

x^{2} \cdot 3 = x (x + 5)

Solve

x^{2} \cdot 3 = x (x + 5) : x = 0, x = \frac{5}{2}

x = 0, x = \frac{5}{2}

Verify Solutions:

x = 0

False

, x = \frac{5}{2}

True

The solution is

x = \frac{5}{2}

ln (3 x + 6) + ln (2) = ln (63)

ln (2 - 3 x) = 9

- 3 ln (x + 1) = 2

x^{2} + 2 5^{l o g_{5} (3 x)} = 90

ln (x - 2) + ln (x + 2) = 0

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