What is the answer to (sqrt(3x))/(sqrt(x-2))=3 ?

The answer to (sqrt(3x))/(sqrt(x-2))=3 is x=3

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(sqrt(3x))/(sqrt(x-2))=3

\frac{3 x}{x - 2} = 3

x = 3

Solution steps

\frac{3 x}{x - 2} = 3

Multiply both sides by

x - 2

\frac{3 x}{x - 2} x - 2 = 3 x - 2

Simplify

3 x = 3 x - 2

Square both sides:

3 x = 9 x - 18

3 x = 9 x - 18

Solve

3 x = 9 x - 18 : x = 3

x = 3

Verify Solutions:

x = 3

True

The solution is

x = 3

87 = 0.2 x^{\frac{3}{2}}

y = x^{\frac{1}{3}}, x

y - 1 = - \frac{5}{9} y + 7

\frac{x + 4}{6} + 3 = 4

x - 1 = - 1 + x

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