Finding the Logarithm Value: We need to find the value of log_(3)1. The logarithm of a number is the exponent to which the base must be raised to produce that number. In this case, we are looking for the power to which 3 must be raised to get 1.Property of Logarithms: Recall the property of logarithms that states log_b(1) = 0 for any base b. This is because any non-zero number raised to the power of 0 is 1.Applying the Property: Applying this property to our problem, we have log_(3)1 = 0 because 3 raised to the power of 0 is indeed 1.

Grade 8

Relationship between squares and square roots

Full solution

\log _{3} 1=

Finding the Logarithm Value: We need to find the value of $\log_{3}1$ . The logarithm of a number is the exponent to which the base must be raised to produce that number. In this case, we are looking for the power to which $3$ must be raised to get $1$ .
Property of Logarithms: Recall the property of logarithms that states $\log_b(1) = 0$ for any base $b$ . This is because any non-zero number raised to the power of $0$ is $1$ .
Applying the Property: Applying this property to our problem, we have $\log_{3}1 = 0$ because $3$ raised to the power of $0$ is indeed $1$ .