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

The answer to ln(x-2)=2+3ln(2) is x=8e^2+2

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

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

x = 8 e^{2} + 2

Decimal Notation

x = 61.11244 \dots

Solution steps

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

Apply log rules

x - 2 = 8 e^{2}

Solve

x - 2 = 8 e^{2} : x = 8 e^{2} + 2

x = 8 e^{2} + 2

lo g_{2} (x + 3) = 3 - lo g_{2} (x + 5)

lo g_{4} (2 x + 4) - 3 = lo g_{4} (3)

lo g_{3} (2 x - 1) - lo g_{3} (x - 4) = 2

0.456 = ln (x^{2})

x, ln (y) = - ln (x) + c

What is the answer to ln(x-2)=2+3ln(2) ?
The answer to ln(x-2)=2+3ln(2) is x=8e^2+2
Solve for x: ln(x-2)=2+3ln(2)
The solution is x=8e^2+2