Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate logarithmic expressions without using a calculator.
-$\log \left( \frac { x } { 10 } \right)$
A) $- 10 x$
B) $10 x$
C) $\log x - 1$
D) $\log x + 1$

Question

Quizplus · Accepted Answer

The expression can be expanded using the quotient rule of logarithms, $\log_b \frac{M}{N} = \log_b M - \log_b N$, giving $\log x - \log 10$. Since $\log 10 = 1$ (in base 10), the expression simplifies to $\log x - 1$.

Use Properties of Logarithms to Expand the Logarithmic Expression as Much