Step-by-step explanation:
To solve the equation 4 ln x - 8 = 12, we first need to isolate the natural logarithm term.
Add 8 to both sides of the equation:
4 ln x = 20
Then, divide by 4 to solve for ln x:
ln x = 5
To find the approximate solution for x, we need to convert the logarithmic form to exponential form:
x = e^5
Calculating the approximate value:
x ≈ e^5 ≈ 148.41
Therefore, the approximate solution to the equation 4 ln x - 8 = 12 is x ≈ 148.41.
