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

The answer to solvefor x,ln(x-3)-2ln(3)=2 is x=9e^2+3

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solvefor x,ln(x-3)-2ln(3)=2

solve for

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

x = 9 e^{2} + 3

Decimal Notation

x = 69.50150 \dots

Solution steps

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

Move

2 ln (3)

to the right side

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

Apply log rules

x - 3 = 9 e^{2}

Solve

x - 3 = 9 e^{2} : x = 9 e^{2} + 3

x = 9 e^{2} + 3

Verify Solutions:

x = 9 e^{2} + 3

True

The solution is

x = 9 e^{2} + 3

ln (x + 1) + \frac{x}{x + 1} = 0

9.24 = lo g_{1} (x)

lo g_{x} (2 x + 15) = 2

ln (x) = 3.967503513

lo g_{10} (5 x) - lo g_{10} (x - 1) = 2

What is the answer to solvefor x,ln(x-3)-2ln(3)=2 ?
The answer to solvefor x,ln(x-3)-2ln(3)=2 is x=9e^2+3