What is the answer to (log_{3}(x))^2=4log_{3}(x) ?

The answer to (log_{3}(x))^2=4log_{3}(x) is x=81,x=1

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(log_{3}(x))^2=4log_{3}(x)

(lo g_{3} (x))^{2} = 4 lo g_{3} (x)

x = 81, x = 1

Solution steps

(lo g_{3} (x))^{2} = 4 lo g_{3} (x)

Rewrite the equation with

lo g_{3} (x) = u

(u)^{2} = 4 u

Solve

u^{2} = 4 u : u = 4, u = 0

u = 4, u = 0

Substitute back

u = lo g_{3} (x),

solve for

x

Solve

lo g_{3} (x) = 4 : x = 81

Solve

lo g_{3} (x) = 0 : x = 1

x = 81, x = 1

Verify Solutions:

x = 81

True

, x = 1

True

The solutions are

x = 81, x = 1

lo g_{a} (5) = - 2

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

lo g_{x} (\frac{1}{6}) = - 1

lo g_{7} (6 - 2 t) = 2

ln (ln (x)) = 3

What is the answer to (log_{3}(x))^2=4log_{3}(x) ?
The answer to (log_{3}(x))^2=4log_{3}(x) is x=81,x=1
Solve for x: (log_{3}(x))^2=4log_{3}(x)
The solution is x=81,x=1