What is the answer to 2ln(x-3)=ln(x)-ln(4) ?

The answer to 2ln(x-3)=ln(x)-ln(4) is x=4

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2ln(x-3)=ln(x)-ln(4)

2 ln (x - 3) = ln (x) - ln (4)

x = 4

Solution steps

2 ln (x - 3) = ln (x) - ln (4)

Add

ln (4)

to both sides

2 ln (x - 3) + ln (4) = ln (x) - ln (4) + ln (4)

Simplify

2 ln (x - 3) + ln (4) = ln (x)

Apply log rules

(x - 3)^{2} \cdot 4 = x

Solve

(x - 3)^{2} \cdot 4 = x : x = 4, x = \frac{9}{4}

x = 4, x = \frac{9}{4}

Verify Solutions:

x = 4

True

, x = \frac{9}{4}

False

The solution is

x = 4

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lo g_{5} (x) - lo g_{25} (x + 6) = 0

lo g_{x} (512) = 9

ln (15) = ln (- n) - n ln (1.1)

lo g_{2} (x + 7) + lo g_{2} (x - 7) = 5

What is the answer to 2ln(x-3)=ln(x)-ln(4) ?
The answer to 2ln(x-3)=ln(x)-ln(4) is x=4
Solve for x: 2ln(x-3)=ln(x)-ln(4)
The solution is x=4