What is the answer to 3-sqrt(log_{3)(x)-2}=0 ?

The answer to 3-sqrt(log_{3)(x)-2}=0 is x=177147

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3-sqrt(log_{3)(x)-2}=0

3 - lo g_{3} (x) - 2 = 0

x = 177147

Solution steps

3 - lo g_{3} (x) - 2 = 0

Rewrite the equation with

lo g_{3} (x) = u

3 - u - 2 = 0

Solve

3 - u - 2 = 0 : u = 11

u = 11

Substitute back

u = lo g_{3} (x),

solve for

x

Solve

lo g_{3} (x) = 11 : x = 177147

x = 177147

Verify Solutions:

x = 177147

True

The solution is

x = 177147

lo g_{10} (x) (32) = \frac{5}{2}

ln ((x - 4)^{2}) = 12

lo g_{2 x - 2} (3 x^{2} + 2 x - 17) = 2

lo g_{10} (3 x + 1) = 6

ln (x + 5) = 1

What is the answer to 3-sqrt(log_{3)(x)-2}=0 ?
The answer to 3-sqrt(log_{3)(x)-2}=0 is x=177147
Solve for x: 3-sqrt(log_{3)(x)-2}=0
The solution is x=177147