What is the answer to solvefor x,3ln(x^4)=18 ?

The answer to solvefor x,3ln(x^4)=18 is x=esqrt(e),x=-esqrt(e)

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solvefor x,3ln(x^4)=18

solve for

x, 3 ln (x^{4}) = 18

x = e e, x = - e e

Solution steps

3 ln (x^{4}) = 18

Divide both sides by

3

ln (x^{4}) = 6

Apply exponent rule:

a^{2 \cdot n} = (a^{2})^{n}

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

ln ((x^{2})^{2}) = 6

Apply log rules

x^{2} = e^{3}

Solve

x^{2} = e^{3} : x = e e, x = - e e

x = e e, x = - e e

Verify Solutions:

x = e e

True

, x = - e e

True

The solutions are

x = e e, x = - e e

lo g_{x} (243) = 5

lo g_{3} (x - 5) = lo g_{3} (x) - 5

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

lo g_{4} (2 - x) = lo g_{16} (13 - 4 x)

ln (x) = 10

What is the answer to solvefor x,3ln(x^4)=18 ?
The answer to solvefor x,3ln(x^4)=18 is x=esqrt(e),x=-esqrt(e)