The logarithmic form of the equation
is
, indicating that the logarithm of 35 with base 6 equals 2, providing a concise representation of the exponentiation relationship.
The equation
can be expressed in logarithmic form using the base 6 logarithm. The logarithmic form of
is written as
.
In general, if
, then the logarithmic form is
. In this specific case,
can be translated to
, 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.