Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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![**Solve the equation:**
\[ -5e^{9x - 8} - 8 = -62 \]
### Explanation:
This is an exponential equation where we need to isolate the variable \( x \). Follow these general steps to solve it:
1. **Isolate the Exponential Term:**
Begin by adding 8 to both sides of the equation to isolate the exponential expression.
2. **Evaluate the Exponential:**
Once the exponential term is isolated, divide both sides by -5.
3. **Solve for x:**
Take the natural logarithm of both sides to find the value of \( x \).
### Additional Tips:
- Make sure to simplify each step as you solve the equation.
- Recall exponential and logarithmic identities to aid in solving the equation.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fb1815343-0e1e-45bc-b31a-0935809f9211%2F8f122918-d391-40b1-bfd7-3cb9e986a13d%2Fl6ue6g_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Solve the equation:**
\[ -5e^{9x - 8} - 8 = -62 \]
### Explanation:
This is an exponential equation where we need to isolate the variable \( x \). Follow these general steps to solve it:
1. **Isolate the Exponential Term:**
Begin by adding 8 to both sides of the equation to isolate the exponential expression.
2. **Evaluate the Exponential:**
Once the exponential term is isolated, divide both sides by -5.
3. **Solve for x:**
Take the natural logarithm of both sides to find the value of \( x \).
### Additional Tips:
- Make sure to simplify each step as you solve the equation.
- Recall exponential and logarithmic identities to aid in solving the equation.
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