Express as the logarithm of a single expression. Assume that variables represent positive numbers.
-$\log _ { 9 } 6 + \log _ { 9 } 5 - \log _ { 9 } 10$
A) $\log _ { 9 } \frac { 30 } { 10 }$
B) $\log _ { 9 } 3$
C) $\log _ { 9 } 1$
D) $\log _ { 9 } \frac { 1 } { 3 }$

Question

Quizplus · Accepted Answer

Using the properties of logarithms, $\log _ { 9 } 6 + \log _ { 9 } 5 - \log _ { 9 } 10$ simplifies to $\log _ { 9 } \frac{6 \times 5}{10} = \log _ { 9 } 3$.

Express as the Logarithm of a Single Expression log⁡96+log⁡95−log⁡910\log _ { 9 } 6 + \log _ { 9 } 5 - \log _ { 9 } 10log9​6+log9​5−log9​10

Express as the Logarithm of a Single Expression $\log _ { 9 } 6 + \log _ { 9 } 5 - \log _ { 9 } 10$