Solve the following logarithmic equation: log x = -3 .027 .001 .013 .004
Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE:
1. Give the measures of the complement and the supplement of an angle measuring 35°.
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Question
![**Problem: Solve the following logarithmic equation:**
The equation given is:
\[ \log x = -3 \]
**Options for the value of \( x \):**
- \( 0.027 \)
- \( 0.001 \)
- \( 0.013 \)
- \( 0.004 \)
To solve this equation, we need to convert the logarithmic form to its exponential form. The equation \(\log x = -3\) implies that:
\[ x = 10^{-3} \]
Calculating \( 10^{-3} \), we get:
\[ x = \frac{1}{10^3} = 0.001 \]
Therefore, the solution to the equation is:
\[ x = 0.001 \]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F80adb728-6954-4f8d-9107-41647af52006%2F5d84fcf0-d403-4fee-89d0-d5d2a378bb3c%2F7ftecuf_processed.jpeg&w=3840&q=75)
Transcribed Image Text:**Problem: Solve the following logarithmic equation:**
The equation given is:
\[ \log x = -3 \]
**Options for the value of \( x \):**
- \( 0.027 \)
- \( 0.001 \)
- \( 0.013 \)
- \( 0.004 \)
To solve this equation, we need to convert the logarithmic form to its exponential form. The equation \(\log x = -3\) implies that:
\[ x = 10^{-3} \]
Calculating \( 10^{-3} \), we get:
\[ x = \frac{1}{10^3} = 0.001 \]
Therefore, the solution to the equation is:
\[ x = 0.001 \]
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