Problem

Solve for $x$.
\[
6+5 \ln x=4
\]

Answer

Expert–verified
Hide Steps
Answer

Final Answer: \(x = \boxed{e^{-2/5}}\)

Steps

Step 1 :Subtract 6 from both sides of the equation to get \(5 \ln x = 4 - 6 = -2\).

Step 2 :Divide both sides of the equation by 5 to get \(\ln x = -2/5\).

Step 3 :Use the property of logarithms to rewrite the equation as \(x = e^{-2/5}\).

Step 4 :Final Answer: \(x = \boxed{e^{-2/5}}\)

link_gpt