What is the answer to ln(x^6)-ln(x^2)=4 ?

The answer to ln(x^6)-ln(x^2)=4 is x=e,x=-e

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ln(x^6)-ln(x^2)=4

ln (x^{6}) - ln (x^{2}) = 4

x = e, x = - e

Decimal Notation

x = 2.71828 \dots, x = - 2.71828 \dots

Solution steps

ln (x^{6}) - ln (x^{2}) = 4

Apply exponent rule:

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

x^{6} = (x^{2})^{3}

ln ((x^{2})^{3}) - ln (x^{2}) = 4

Apply log rules

x^{2} = e^{2}

Solve

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

x = e, x = - e

Verify Solutions:

x = e

True

, x = - e

True

The solutions are

x = e, x = - e

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

1 0^{l o g_{10} (a)} = a

ln (x) = 2.60059

lo g_{8} (3 x + 2) = lo g_{8} (26)

4 = 3.1 + lo g_{10} (\frac{x}{0.1})

What is the answer to ln(x^6)-ln(x^2)=4 ?
The answer to ln(x^6)-ln(x^2)=4 is x=e,x=-e
Solve for x: ln(x^6)-ln(x^2)=4
The solution is x=e,x=-e