3Ine=In(�ã(3))/(x)-3 Ine
To simplify the given expression, we can start by applying the properties of logarithms. Remember that the property states log base a of b divided by c is equal to log base a of b minus log base a of c.
Using this property, we can rewrite the expression:
3ln(e) = ln(3) - ln(x) - 3ln(e)
Since ln(e) = 1, we can simplify further:
3 = ln(3) - ln(x) - 3ln(e)
Now, let's isolate the term that contains ln(x) and simplify:
ln(x) = ln(3) - 3ln(e) + 3
Since ln(e) = 1, we can replace it:
ln(x) = ln(3) - 3 + 3
Simplifying further:
ln(x) = ln(3)
Now, we have ln(x) = ln(3). To solve for x, we need to exponentiate both sides using the natural logarithmic base, which is e:
e^(ln(x)) = e^(ln(3))
Since e^ln(x) simply equals x, and e^ln(3) equals 3, we have:
x = 3
Therefore, the value of x that satisfies the equation is x = 3.