Condense the expression $\log _ { 3 } x + \log _ { 3 } 4$ to the logarithm of a single term.
A) $\log ( 4 x ) ^ { 3 }$
B) $\log _ { 3 } 4 x$
C) $\log _ { 3 } 4 ^ { x }$
D) $\log _ { 3 } x ^ { 4 }$
E) $\log _ { 3 } ( x + 4 )$

Question

Quizplus · Accepted Answer

The properties of logarithms state that $\log_b m + \log_b n = \log_b (mn)$. Applying this rule, $\log_3 x + \log_3 4 = \log_3 (4x)$.

Condense the Expression log⁡3x+log⁡34\log _ { 3 } x + \log _ { 3 } 4log3​x+log3​4

Condense the Expression $\log _ { 3 } x + \log _ { 3 } 4$