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Which of the following shows the equation 6^2=35 in logarithmic form

User Haojen
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3 votes
I converted it and it a log^6(35)=2
User Polyclef
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The logarithmic form of the equation
\(6^2 = 35\) is
\(\log_6 35 = 2\), indicating that the logarithm of 35 with base 6 equals 2, providing a concise representation of the exponentiation relationship.

The equation
\(6^2 = 35\) can be expressed in logarithmic form using the base 6 logarithm. The logarithmic form of
\(6^2 = 35\) is written as
\(\log_6 35 = 2\).

In general, if
\(b^x = y\), then the logarithmic form is
\(\log_b y = x\). In this specific case,
\(6^2 = 35\) can be translated to
\(\log_6 35 = 2\), which is saying that the logarithm with base 6 of 35 is equal to 2.

This means that 6 raised to the power of 2 equals 35, and conversely, the logarithm of 35 to the base 6 is 2. The logarithmic form provides a way to represent exponentiation in a concise and mathematical way, helping in various mathematical and computational applications.

The probable question may be:

Write the equation 6^2=35 in logarithmic form.

User OXXO
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