What is the answer to ln(8)-3ln(2)+ln(x^2)=9 ?

The answer to ln(8)-3ln(2)+ln(x^2)=9 is x=e^4sqrt(e),x=-e^4sqrt(e)

Solve for x: ln(8)-3ln(2)+ln(x^2)=9

The solution is x=e^4sqrt(e),x=-e^4sqrt(e)

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ln (8) - 3 ln (2) + ln (x^{2}) = 9

x = e^{4} e, x = - e^{4} e

Decimal Notation

x = 90.01713 \dots, x = - 90.01713 \dots

Solution steps

ln (8) - 3 ln (2) + ln (x^{2}) = 9

Move

ln (8)

to the right side

- 3 ln (2) + ln (x^{2}) = 9 - ln (8)

Move

3 ln (2)

to the right side

ln (x^{2}) = 9 - ln (8) + 3 ln (2)

Apply log rules

x^{2} = e^{9}

Solve

x^{2} = e^{9} : x = e^{4} e, x = - e^{4} e

x = e^{4} e, x = - e^{4} e

Verify Solutions:

x = e^{4} e

True

, x = - e^{4} e

True

The solutions are

x = e^{4} e, x = - e^{4} e

x + lo g_{3} (x) = 0

lo g_{2} (25 - x) = - 3

20 \cdot lo g_{10} (y) = 12

lo g_{4} (x^{2} - 6 x) = 2

lo g_{10} (x) = 3.2

What is the answer to ln(8)-3ln(2)+ln(x^2)=9 ?
The answer to ln(8)-3ln(2)+ln(x^2)=9 is x=e^4sqrt(e),x=-e^4sqrt(e)
Solve for x: ln(8)-3ln(2)+ln(x^2)=9
The solution is x=e^4sqrt(e),x=-e^4sqrt(e)