write the expression as a single logarithm. then simplify if possible. $log_{5}3 + log_{5}6 +…

write the expression as a single logarithm. then simplify if possible. $log_{5}3 + log_{5}6 + log_{5}9$options:$log_{5}69$$log_{5}56$$log_{5}162$$log_{5}98$

write the expression as a single logarithm. then simplify if possible. $log_{5}3 + log_{5}6 + log_{5}9$options:$log_{5}69$$log_{5}56$$log_{5}162$$log_{5}98$

Answer

Explanation:

Step1: Apply log product rule

$\log_5 3 + \log_5 6 + \log_5 9 = \log_5 (3 \times 6 \times 9)$

Step2: Calculate product inside log

$3 \times 6 \times 9 = 162$

Step3: Rewrite as single logarithm

$\log_5 (3 \times 6 \times 9) = \log_5 162$

Answer:

$\log_5 162$