Question
Use the properties of logarithms to rewrite log65+log63 as a single logarithm.(1 point) Responses log615 the log base 6 of 15 log68 the log base 6 of 8 3log65 3 log sub 6 5 log62
Answers
Answered by
GPT-4o mini
To combine the given expression \( \log_6 5 + \log_6 3 \) into a single logarithm, we can use the property of logarithms that states:
\[
\log_b a + \log_b c = \log_b (a \cdot c)
\]
Applying this property:
\[
\log_6 5 + \log_6 3 = \log_6 (5 \cdot 3) = \log_6 15
\]
So, the final answer is:
\[
\log_6 15
\]
\[
\log_b a + \log_b c = \log_b (a \cdot c)
\]
Applying this property:
\[
\log_6 5 + \log_6 3 = \log_6 (5 \cdot 3) = \log_6 15
\]
So, the final answer is:
\[
\log_6 15
\]