What is the answer to ln(x-3)-ln(x)+2ln(2)+10=0 ?

The answer to ln(x-3)-ln(x)+2ln(2)+10=0 is x=(12e^{10})/(4e^{10)-1}

Solve for x: ln(x-3)-ln(x)+2ln(2)+10=0

The solution is x=(12e^{10})/(4e^{10)-1}

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ln (x - 3) - ln (x) + 2 ln (2) + 10 = 0

x = \frac{12 e ^{10}}{4 e ^{10} - 1}

Decimal Notation

x = 3.00003 \dots

Solution steps

ln (x - 3) - ln (x) + 2 ln (2) + 10 = 0

Add

ln (x)

to both sides

ln (x - 3) - ln (x) + 2 ln (2) + 10 + ln (x) = 0 + ln (x)

Simplify

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

Apply log rules

(x - 3) \cdot 4 e^{10} = x

Solve

(x - 3) \cdot 4 e^{10} = x : x = \frac{12 e ^{10}}{4 e ^{10} - 1}

x = \frac{12 e ^{10}}{4 e ^{10} - 1}

Verify Solutions:

x = \frac{12 e ^{10}}{4 e ^{10} - 1}

True

The solution is

x = \frac{12 e ^{10}}{4 e ^{10} - 1}

x, ln (x y) + 4 x = 15

10.26 = - lo g_{10} (x)

x, ln (y) = ln (x^{2}) + C

lo g_{10} (x) + lo g_{10} (x + 5) = 5

lo g_{10} (v) = a

What is the answer to ln(x-3)-ln(x)+2ln(2)+10=0 ?
The answer to ln(x-3)-ln(x)+2ln(2)+10=0 is x=(12e^{10})/(4e^{10)-1}
Solve for x: ln(x-3)-ln(x)+2ln(2)+10=0
The solution is x=(12e^{10})/(4e^{10)-1}