Solve for x. Round to the nearest hundredth.
ln x = − 4/9
x =
ln x = -4/9
e^(-4/9) = x
my calculator says
x = appr .64
To solve for x, we need to isolate x in the equation ln x = −4/9.
The natural logarithm function ln(x) is the inverse function of the exponential function e^x. Therefore, to isolate x, we need to apply the inverse of ln(x), which is e^x, to both sides of the equation.
By raising both sides of the equation to the power of e, we can cancel out the ln function:
e^(ln x) = e^(-4/9)
Since e^(ln x) is just x, we have:
x = e^(-4/9)
Now we can calculate this expression on a calculator or by using the exponential function on a computer software or programming language.
By using a scientific calculator, we can evaluate e^(-4/9) and round the answer to the nearest hundredth:
x ≈ 0.695