Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose coefficient is 1. Where possible, evaluate logarithmic expressions.
-$$\log _ { \mathrm { c } } \mathrm { x } + \log _ { \mathrm { c } } \mathrm { y }$$
A) $\log _ { C } \mathrm { x } \cdot \log _ { \mathrm { c } } \mathrm { y }$
B) $\log _ { \mathrm { C } } \left( \frac { \mathrm { x } } { \mathrm { V } } \right)$
C) $\log _ { \mathrm { C } } ( \mathrm { xy } )$
D) $\log _ { \mathrm { C } } ( \mathrm { x } + \mathrm { y } )$

Question

Quizplus · Accepted Answer

The property of logarithms that applies here is $\log_a(b) + \log_a(c) = \log_a(bc)$, which directly leads to the answer $\log_C(xy)$.

Use Properties of Logarithms to Condense the Logarithmic Expression log⁡cx+log⁡cy\log _ { \mathrm { c } } \mathrm { x } + \log _ { \mathrm { c } } \mathrm { y }logc​x+logc​y

Use Properties of Logarithms to Condense the Logarithmic Expression $\log _ { \mathrm { c } } \mathrm { x } + \log _ { \mathrm { c } } \mathrm { y }$