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

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

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

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

x = \frac{5}{2}

Solution steps

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

Add

ln (3)

to both sides

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

Simplify

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}

2 ln (x) - ln (x - 1) = ln (4)

3.5 = 1.5 + lo g_{3} (x + 1)

lo g_{10} (3 x) = 4

lo g_{3} (y^{2}) + lo g_{3} (y) = 6

ln (ln (2 x)) = 0

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