Questions: Use properties of exponents to find the value of log8 1. (1 point)
1
1/8
8
0
Transcript text: Use properties of exponents to find the value of $\log _{8} 1$. (1 point)
1
$\frac{1}{8}$
8
0
Solution
Solution Steps
To find the value of log81, we use the property of logarithms that states logba=c if and only if bc=a. In this case, we are looking for the value of c such that 8c=1. Since any number raised to the power of 0 is 1, the value of log81 is 0.
Step 1: Understanding the Logarithm
We need to find the value of log81. By the definition of logarithms, logba=c means that bc=a. Here, we want to determine c such that 8c=1.
Step 2: Applying the Property of Exponents
We know that any number raised to the power of 0 equals 1. Therefore, we can conclude that:
80=1
This implies that c=0.