Write the logarithm as a sum or difference of logarithms. Simplify each term as much as possible.
-$\log _ { 5 } \frac { a ^ { 8 } } { b ^ { 7 } c }$
A) $8 \log _ { 5 } a + 7 \log _ { 5 } b - \log _ { 5 } c$
B) $8 \log _ { 5 } a - 7 \log _ { 5 } b - \log _ { 5 } c$
C) $8 \log _ { 5 } a - 7 \log _ { 5 } b + \log _ { 5 } c$
D) $8 \log _ { 5 } a + 7 \log _ { 5 } b + \log _ { 5 } c$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, the expression can be rewritten as the difference of the logarithms of the numerator and denominator, and then further simplified by applying the power rule. This results in $8 \log _ { 5 } a - 7 \log _ { 5 } b - \log _ { 5 } c$.

Write the Logarithm as a Sum or Difference of Logarithms log⁡5a8b7c\log _ { 5 } \frac { a ^ { 8 } } { b ^ { 7 } c }log5​b7ca8​

Write the Logarithm as a Sum or Difference of Logarithms $\log _ { 5 } \frac { a ^ { 8 } } { b ^ { 7 } c }$