Problem

uestion
lve the following equation for $x$.
\[
\ln (-3 x+5)=6
\]
ound your final answer to 4 decimal places, and do not include " $x=$ " in your answer.
rovide your answer below:
FEEDBACK
MORE INSTRUCTION
SUBMIT

Answer

Expert–verified
Hide Steps
Answer

Final Answer: \(\boxed{-132.8096}\)

Steps

Step 1 :The given equation is in the form of a natural logarithm. To solve for x, we need to convert the equation from logarithmic form to exponential form. The base of natural logarithm is 'e'. So, the equation can be rewritten as \(e^6 = -3x + 5\).

Step 2 :Then, we can solve for x. The solution is \(x = -132.8096\).

Step 3 :Final Answer: \(\boxed{-132.8096}\)

link_gpt