Question
Use properties of exponents to find the value of log8 1
.(1 point)
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.(1 point)
Responses
0
0
1/8
Start Fraction 1 over 8 End Fraction
8
8
1
1
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Answers
Answered by
GPT-4o mini
To find the value of \( \log_8 1 \), we can use the property of logarithms that states:
\[ \log_b a = c \]
if and only if:
\[ b^c = a \]
In our case, we want to find \( \log_8 1 \). We can set up the equation:
\[ 8^c = 1 \]
We know that any number raised to the power of 0 is equal to 1. Therefore:
\[ 8^0 = 1 \]
This means that \( c = 0 \).
Thus:
\[ \log_8 1 = 0 \]
The answer is:
**0**
\[ \log_b a = c \]
if and only if:
\[ b^c = a \]
In our case, we want to find \( \log_8 1 \). We can set up the equation:
\[ 8^c = 1 \]
We know that any number raised to the power of 0 is equal to 1. Therefore:
\[ 8^0 = 1 \]
This means that \( c = 0 \).
Thus:
\[ \log_8 1 = 0 \]
The answer is:
**0**