Definition of logarithm: Understand the definition of a logarithm. The logarithm log base b of a number x is the exponent by which b must be raised to yield x. In this case, we want to find the exponent that 9 must be raised to in order to get 9.Applying the definition: Apply the definition of a logarithm to the problem. Since we are looking for log base 9 of 9, we are essentially asking ＂9 raised to what power equals 9?＂ The answer to this is 1, because 9^1 = 9.Checking for errors: Check for any mathematical errors. There are no mathematical errors in the previous step. The calculation is straightforward and follows the basic property of logarithms.

Grade 7

Add, subtract, multiply, and divide integers

Full solution

\log _{9} 9=

Definition of logarithm: Understand the definition of a logarithm. $\newline$ The logarithm $\log_{b} x$ base $b$ of a number $x$ is the exponent by which $b$ must be raised to yield $x$ . In this case, we want to find the exponent that $9$ must be raised to in order to get $9$ .
Applying the definition: Apply the definition of a logarithm to the problem. $\newline$ Since we are looking for $\log_{9} 9$ , we are essentially asking ＂ $9$ raised to what power equals $9$ ?＂ The answer to this is $1$ , because $9^1 = 9$ .
Checking for errors: Check for any mathematical errors. $\newline$ There are no mathematical errors in the previous step. The calculation is straightforward and follows the basic property of logarithms.