Answered

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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]
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