Answer
$4$
Work Step by Step
Recall:
(1) Product Property of Logarithms: $\log_a{b}+\log_a{c}=\log_a{bc}$.
(2) Quotient Property of Logarithms: $\log_a{b}-\log_a{c}=\log_a{\frac{b}{c}}$.
(3) Power Property of Logarithms: $\log_a{b^n} = n\cdot \log_a{b}$
Use the Quotient Property to obtain:
\begin{align*}
&=\log{\left(\frac{33000}{99}\right)} + \log{30}\\
\end{align*}
Use the Power Property to obtain:
\begin{align*}
\require{cancel}
&=\log{\left(\frac{33000}{99} \cdot 30\right)}\\\\
&=\log{\left(\frac{33000 \cdot 30}{99}\right)}\\\\
&=\log{\left(\frac{\cancel{33000}^{1000} \cdot 30}{\cancel{99}^3}\right)}\\\\
&=\log{\left(\frac{1000 \cdot \cancel{30}^{10}}{\cancel{3}}\right)}\\\\
&=\log{\left(1000\cdot 10\right)}\\\\
&=\log{\left(10,000\right)}\\\\
&=\log{\left(10^4\right)}\\\\
&=4
\end{align*}
