What is the answer to ln(x^8)-ln(x^4)=4 ?

The answer to ln(x^8)-ln(x^4)=4 is x=e,x=-e

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ln(x^8)-ln(x^4)=4

ln (x^{8}) - ln (x^{4}) = 4

x = e, x = - e

Solution steps

ln (x^{8}) - ln (x^{4}) = 4

Apply exponent rule:

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

x^{8} = (x^{2})^{4}

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

ln (3 x + e) = 9

lo g_{10} (7 x) = 1

x^{6} e^{- 4 l n (x)} = 2 x + 15

lo g_{3} (2 x - 8) = 1

6 = 3.3 lo g_{10} (x)

What is the answer to ln(x^8)-ln(x^4)=4 ?
The answer to ln(x^8)-ln(x^4)=4 is x=e,x=-e
Solve for x: ln(x^8)-ln(x^4)=4
The solution is x=e,x=-e