Express as the logarithm of a single expression. Assume that variables represent positive numbers.
-$\log _ { 3 } 8 + \log _ { 3 } x$
A) $\log _ { 3 } ( x + 8 )$
B) $\log _ { 3 } 8 ^ { x }$
C) $\log _ { 24 } x$
D) $\log _ { 3 } 8 x$

Question

Quizplus · Accepted Answer

The properties of logarithms state that the sum of two logarithms with the same base can be combined into a single logarithm by multiplying the arguments: $\log_b(m) + \log_b(n) = \log_b(mn)$. Therefore, $\log_3 8 + \log_3 x = \log_3 (8x)$.

Express as the Logarithm of a Single Expression log⁡38+log⁡3x\log _ { 3 } 8 + \log _ { 3 } xlog3​8+log3​x

Express as the Logarithm of a Single Expression $\log _ { 3 } 8 + \log _ { 3 } x$