Write as the sum and/or difference of logarithms. Express powers as factors.
-$\log _ { 2 } \left( \frac { x + 5 } { x ^ { 7 } } \right)$
A) $\log _ { 2 } ( x + 5 ) - 7 \log _ { 2 } x$
B) $\log _ { 2 } ( x + 5 ) + 7 \log _ { 2 } x$
C) $\log _ { 2 } ( x + 5 ) - \log _ { 2 } x$
D) $7 \log _ { 2 } x - \log _ { 2 } ( x + 5 )$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, the expression can be rewritten as the difference of two logarithms, where the exponent in the denominator becomes a factor in front of the logarithm.

Write as the Sum And/or Difference of Logarithms log⁡2(x+5x7)\log _ { 2 } \left( \frac { x + 5 } { x ^ { 7 } } \right)log2​(x7x+5​)

Write as the Sum And/or Difference of Logarithms $\log _ { 2 } \left( \frac { x + 5 } { x ^ { 7 } } \right)$