Hello, I would like see if I had done this problem right, can you please help me?Please see attached imageThanks! **Topic: Converting Logarithmic Equations to Exponential Form**---**Instruction: Rewrite as an exponential equation.**Given:\[ \ln 6 = x \]**Solution:**The natural logarithm function, \(\ln\), is the logarithm to the base \(e\), where \(e\) is approximately equal to 2.71828. To convert the given logarithmic equation into its equivalent exponential form, we use the definition of the natural logarithm:\[ \ln a = b \Rightarrow e^b = a \]Using this definition with the given equation \( \ln 6 = x \), we can rewrite it as:\[ e^x = 6 \]So, the exponential form of the equation \( \ln 6 = x \) is:\[ e^x = 6 \]---**Explanation:**Converting logarithmic equations to exponential form is a fundamental skill in algebra. This conversion is useful in solving equations involving logarithms and understanding the relationships between logarithmic and exponential functions.

We have to write as an exponential equation.

Answered: Rewrite as an exponential equation. ln…

Math

Algebra

Rewrite as an exponential equation. ln 6=x

Algebra and Trigonometry (6th Edition)

6th Edition

ISBN:9780134463216

Author:Robert F. Blitzer

Publisher:Robert F. Blitzer

ChapterP: Prerequisites: Fundamental Concepts Of Algebra

Section: Chapter Questions

Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...

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Hello, I would like see if I had done this problem right, can you please help me?

Please see attached image

Thanks!

**Topic: Converting Logarithmic Equations to Exponential Form**

---

**Instruction: Rewrite as an exponential equation.**

Given:

\[ \ln 6 = x \]

**Solution:**

The natural logarithm function, \(\ln\), is the logarithm to the base \(e\), where \(e\) is approximately equal to 2.71828. To convert the given logarithmic equation into its equivalent exponential form, we use the definition of the natural logarithm:

\[ \ln a = b \Rightarrow e^b = a \]

Using this definition with the given equation \( \ln 6 = x \), we can rewrite it as:

\[ e^x = 6 \]

So, the exponential form of the equation \( \ln 6 = x \) is:

\[ e^x = 6 \]

---

**Explanation:**

Converting logarithmic equations to exponential form is a fundamental skill in algebra. This conversion is useful in solving equations involving logarithms and understanding the relationships between logarithmic and exponential functions.

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