e^x+2=13
solve by logarithm
Take the ln of both sides.
x*ln e = ln 13.
You can do this on your calculator. If you don't know the value of e, go to www.google.com and type in e and search. The value is about 2.7.
or type this in the google search window
ln(13) / ln(e)
To solve the equation e^x + 2 = 13 using logarithms, follow these steps:
1. Take the natural logarithm (ln) of both sides of the equation: ln(e^x + 2) = ln(13).
2. Simplify the left side of the equation using the properties of logarithms. The ln and e are inverses, so ln(e^x) simplifies to x: x + ln(2) = ln(13).
3. Move the ln(2) term to the right side of the equation: x = ln(13) - ln(2).
4. You can calculate the value of ln(13) and ln(2) using a scientific calculator or a search engine like Google.
- If you have a scientific calculator, you can simply input ln(13) and ln(2) separately to get their decimal values. Then subtract them: x ≈ ln(13) - ln(2).
- If you don't have a scientific calculator, you can go to www.google.com and type in ln(13) and ln(2) separately. The search results will provide you with their decimal values. Then subtract them: x ≈ ln(13) - ln(2).
By following these steps, you will find the approximate value of x that satisfies the equation e^x + 2 = 13.