What is the answer to (ln(x))^6=6ln(x) ?

The answer to (ln(x))^6=6ln(x) is x=1,x=e^{\sqrt[5]{6}}

Solve for x: (ln(x))^6=6ln(x)

The solution is x=1,x=e^{\sqrt[5]{6}}

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(ln (x))^{6} = 6 ln (x)

Solution steps

(ln (x))^{6} = 6 ln (x)

Rewrite the equation with

ln (x) = u

(u)^{6} = 6 u

Solve

Substitute back

u = ln (x),

solve for

x

Solve

ln (x) = 0 : x = 1

Solve

Verify Solutions:

x = 1

True

The solutions are

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

lo g_{10} (x + 3) - 2 lo g_{10} (x) = 1

lo g_{3} (7 x + 8) = lo g_{3} (7 x + 2)

ln (2 x + 1) = 2 ln (x) + ln (5)

4 ln (3 x - 4) + 16 = 24

What is the answer to (ln(x))^6=6ln(x) ?
The answer to (ln(x))^6=6ln(x) is x=1,x=e^{\sqrt[5]{6}}
Solve for x: (ln(x))^6=6ln(x)
The solution is x=1,x=e^{\sqrt[5]{6}}