Use the Power Rule
Use properties of logarithms to expand the logarithmic expression as much as possible. Where possible, evaluate
logarithmic expressions without using a calculator.
-$\log _ { \mathrm { d } } \mathrm { x } ^ { 10 }$
A) $10 \log _ { d } x$
B) $- 10 \log d x$
C) dlog $10 ^ { x }$
D) $- d \log _ { 10 } x$

Question

Quizplus · Accepted Answer

We use the power rule of logarithms to rewrite the expression as:
\begin{align*}
\log_d x^{10} &= 10 \log_d x \
\end{align*}
This is the only choice that matches the simplified form of the expression using the power rule.

Use the Power Rule Use Properties of Logarithms to Expand log⁡dx10\log _ { \mathrm { d } } \mathrm { x } ^ { 10 }logd​x10

Use the Power Rule
Use Properties of Logarithms to Expand $\log _ { \mathrm { d } } \mathrm { x } ^ { 10 }$