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.
-$$\frac { 1 } { 6 } ( \log 9 x + \log 9 y )$$
A) $\log 9 \sqrt [ 6 ] { x y }$
B) $\log _ { 9 } \sqrt [ 6 ] { x } + \log _ { 9 } \sqrt [ 6 ] { y }$
C) $\sqrt [ 6 ] { \log _ { 9 } ( x y ) }$
D) $\log _ { 9 } \sqrt [ 6 ] { x + y }$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, the given expression can be simplified as follows: $\frac { 1 } { 6 } ( \log 9 x + \log 9 y ) = \log 9 (xy)^{\frac{1}{6}} = \log 9 \sqrt [ 6 ] { x y }$.

Use Properties of Logarithms to Condense the Logarithmic Expression 16(log⁡9x+log⁡9y)\frac { 1 } { 6 } ( \log 9 x + \log 9 y )61​(log9x+log9y)

Use Properties of Logarithms to Condense the Logarithmic Expression $\frac { 1 } { 6 } ( \log 9 x + \log 9 y )$