Question
Use any method (analytic or graphical) to solve each equation.$$\ln \left(\ln e^{-x}\right)=\ln 3$$
Step 1
We know that $\ln e^{-x}$ simplifies to $-x$ because the natural logarithm base $e$ and the exponential function are inverse functions. So, we can rewrite the equation as: $$\ln(-x) = \ln 3$$ Show more…
Show all steps
Your feedback will help us improve your experience
Ankit Gupta and 88 other Algebra educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Use any method (analytic or graphical) to solve each equation. $$e^{x+\ln 3}=4 e^{x}$$
Inverse, Exponential, and Logarithmic Functions
Exponential and Logarithmic Equations and Inequalities
Solve each equation. Give solutions in exact form. $$ \ln e^{x}-\ln e^{3}=\ln e^{3} $$
Exponential and Logarithmic Equations
Solve each logarithmic equation. Express all solutions in exact form. $$\ln e^{x}-\ln e^{3}=\ln e^{3}$$
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD