Solve the equation 2X = 9 for x. Part A What is the exact solution written as a logarithm? A. x = log2 9 B. x = logg 2 C. x= log103 D. x= log10 18 Part B Use the Change of Base Formula. What is an approximate solution rounded to the nearest thousandth? Enter your answer in the box.

College Algebra (MindTap Course List)
12th Edition
ISBN:9781305652231
Author:R. David Gustafson, Jeff Hughes
Publisher:R. David Gustafson, Jeff Hughes
Chapter5: Exponential And Logarithmic Functions
Section5.3: Logarithmic Functions And Their Graphs
Problem 139E
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### Solving Exponential Equations

#### Problem Statement
Solve the equation \(2^x = 9\) for \(x\).

#### Part A
What is the exact solution written as a logarithm?

- A. \( x = \log_2 9 \)
- B. \( x = \log_9 2 \)
- C. \( x = \log_{10} 3 \)
- D. \( x = \log_{10} 18 \)

#### Part B
Use the Change of Base Formula. What is an approximate solution rounded to the nearest thousandth? Enter your answer in the box.

\( x \approx \) [Input Box]
Transcribed Image Text:### Solving Exponential Equations #### Problem Statement Solve the equation \(2^x = 9\) for \(x\). #### Part A What is the exact solution written as a logarithm? - A. \( x = \log_2 9 \) - B. \( x = \log_9 2 \) - C. \( x = \log_{10} 3 \) - D. \( x = \log_{10} 18 \) #### Part B Use the Change of Base Formula. What is an approximate solution rounded to the nearest thousandth? Enter your answer in the box. \( x \approx \) [Input Box]
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