log_7 1 = ???
what is the log base 10 of 10?
what is the log base 7 of 7
Correct!
Log1010 = 1
Log77 = 1
But
Log71 = 0
To find the value of log base 7 of 1, we need to understand what logarithms represent.
A logarithm is the exponent to which a specific base must be raised to obtain a given number. In this case, we are looking for the exponent that 7 must be raised to in order to obtain 1.
The value of log base 7 of 1 can be written as log₇ 1.
Since 7 raised to any power will not result in 1, the value of log₇ 1 is undefined. In other words, there is no real number exponent that will make 7 raised to that exponent equal to 1.