Question

Use properties of logarithms to rewrite log6 5+log6 3
as a single logarithm.(1 point)
Responses

log6 15
the log base 6 of 15

log6 8
the log base 6 of 8

3 log6 5
3 log sub 6 5

log6 2

Answer 1

To rewrite \( \log_6 5 + \log_6 3 \) as 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 answer is:

**log₆ 15** (the log base 6 of 15)