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

Question

Quizplus · Accepted Answer

Using the product rule of logarithms, we can split up the expression into two separate logarithms: $\log_{10}10 + \log_{10}x$. Simplifying $\log_{10}10$ to just 1, we get the final answer of $1+\log_{10}x$.

Use the Product Rule Use Properties of Logarithms to Expand log⁡10(10x)\log _ { 10 } ( 10 x )log10​(10x)

Use the Product Rule
Use Properties of Logarithms to Expand $\log _ { 10 } ( 10 x )$