Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer. log 7x = 2 Rewrite the given equation without logarithms. Do not solve for x. C (Do not simplify.) Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is. (Simplify your answer.)
Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer. log 7x = 2 Rewrite the given equation without logarithms. Do not solve for x. C (Do not simplify.) Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. OA. The solution set is. (Simplify your answer.)
If possible, please circle the answer period so that I can understand the answer. Mark each part of the question so that I know which answer is related to which question. Please answer the whole question when answering, because I noticed that the answer to the question was left unfinished in the past. Thank you for understanding.
Transcribed Image Text:**Educational Content on Solving Logarithmic Equations**
**Problem Statement:**
Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer.
\[
\log_7 x = 2
\]
---
**Task 1: Rewrite the Given Equation Without Logarithms**
Do not solve for x.
(Do not simplify.)
**Task 2: Solve the Equation**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The solution set is { ______ }. (Simplify your answer.)
- **B.** There are infinitely many solutions.
- **C.** There is no solution.
---
**Detailed Explanation:**
1. **Rewrite Without Logarithms:**
- An equation in exponential form that is equivalent to \(\log_7 x = 2\) can be written as \(x = 7^2\).
2. **Solve for x:**
- By evaluating \(7^2\), we get \(x = 49\).
3. **Solution Set:**
- Replace the blank in option A with 49 to find the exact solution:
- **A.** The solution set is {49}. (Simplify your answer.)
Thus, the answer is option A, and the solution set is {49}.
Two-dimensional figure measured in terms of radius. It is formed by a set of points that are at a constant or fixed distance from a fixed point in the center of the plane. The parts of the circle are circumference, radius, diameter, chord, tangent, secant, arc of a circle, and segment in a circle.
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![**Educational Content on Solving Logarithmic Equations**
**Problem Statement:**
Solve the following logarithmic equation. Be sure to reject any value of x that is not in the domain of the original logarithmic expression. Give the exact answer.
\[
\log_7 x = 2
\]
---
**Task 1: Rewrite the Given Equation Without Logarithms**
Do not solve for x.
(Do not simplify.)
**Task 2: Solve the Equation**
Select the correct choice below and, if necessary, fill in the answer box to complete your choice.
- **A.** The solution set is { ______ }. (Simplify your answer.)
- **B.** There are infinitely many solutions.
- **C.** There is no solution.
---
**Detailed Explanation:**
1. **Rewrite Without Logarithms:**
- An equation in exponential form that is equivalent to \(\log_7 x = 2\) can be written as \(x = 7^2\).
2. **Solve for x:**
- By evaluating \(7^2\), we get \(x = 49\).
3. **Solution Set:**
- Replace the blank in option A with 49 to find the exact solution:
- **A.** The solution set is {49}. (Simplify your answer.)
Thus, the answer is option A, and the solution set is {49}.](https://content.bartleby.com/qna-images/question/c29afaca-2bcc-449e-b541-aa3eef827b4a/c3f2abb5-8056-4f0b-b080-37535d5469e8/mbv5fh8_processed.jpeg)
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