Define Logarithm: Identify the definition of a logarithm. The logarithm of a number is the exponent to which the base must be raised to produce that number.Apply Definition: Apply the definition of a logarithm to the problem. Since we are looking for log base 10 of 1, we need to find the power to which 10 must be raised to get 1.Recall Property: Recall the property of any non-zero number raised to the power of 0. Any non-zero number raised to the power of 0 is 1. Therefore, 10^0 = 1.Conclude Value: Conclude the value of the logarithm. Since 10^0 = 1, log base 10 of 1 is 0.

Grade 8

Relationship between squares and square roots

Full solution

\log _{10} 1=

Define Logarithm: Identify the definition of a logarithm. $\newline$ The logarithm of a number is the exponent to which the base must be raised to produce that number.
Apply Definition: Apply the definition of a logarithm to the problem. $\newline$ Since we are looking for $\log_{10} 1$ , we need to find the power to which $10$ must be raised to get $1$ .
Recall Property: Recall the property of any non-zero number raised to the power of $0$ . Any non-zero number raised to the power of $0$ is $1$ . Therefore, $10^0 = 1$ .
Conclude Value: Conclude the value of the logarithm. $\newline$ Since $10^0 = 1$ , $\log_{10} 1 = 0$ .