Answered

At Westonci.ca, we provide reliable answers to your questions from a community of experts. Start exploring today! Explore thousands of questions and answers from a knowledgeable community of experts ready to help you find solutions. Get immediate and reliable solutions to your questions from a community of experienced professionals on our platform.

Convert the following exponential equation to its logarithmic form:

[tex]\[ n^6 = m \][/tex]

A. \(\log_n 6 = m\)

B. \(\log_n m = 6\)

C. \(\log_6 m = n\)

D. [tex]\(\log_6 n = m\)[/tex]

Sagot :

GinnyAnswer
To write the exponential form \( n^6 = m \) in logarithmic form, we need to rearrange it such that we use the definition of a logarithm. Specifically, a logarithm asks the question: "To what power must the base be raised to produce a given number?"

The exponential equation \( n^6 = m \) can be converted to logarithmic form by interpreting it as follows:
- The base is \( n \)
- The exponent is \( 6 \)
- The result is \( m \)

In logarithmic terms, this means: "The exponent to which the base \( n \) must be raised to produce \( m \) is 6."

Therefore, the logarithmic form of \( n^6 = m \) is:
[tex]\[ \log_n m = 6 \][/tex]

So, the correct answer is:
[tex]\[ \log_n m = 6 \][/tex]
Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Thanks for stopping by. We strive to provide the best answers for all your questions. See you again soon. Find reliable answers at Westonci.ca. Visit us again for the latest updates and expert advice.