Express as the logarithm of a single expression. Assume that variables represent positive numbers.
-$\log _ { 7 } 6 + \log _ { 7 } 13$
A) $\log _ { 14 } 78$
B) $\log _ { 7 } 78$
C) $\log _ { 14 } 19$
D) $\log _ { 7 } 19$

Question

Quizplus · Accepted Answer

The property of logarithms that states $\log_b m + \log_b n = \log_b (mn)$ is used here, so $\log_7 6 + \log_7 13 = \log_7 (6 \times 13) = \log_7 78$.

Express as the Logarithm of a Single Expression log⁡76+log⁡713\log _ { 7 } 6 + \log _ { 7 } 13log7​6+log7​13

Express as the Logarithm of a Single Expression $\log _ { 7 } 6 + \log _ { 7 } 13$