Condense the expression $\log _ { 5 } x + \log _ { 5 } 7$ to the logarithm of a single term.
A) $\log ( 7 x ) ^ { 5 }$
B) $\log _ { 5 } 7 x$
C) $\log _ { 5 } 7 ^ { x }$
D) $\log _ { 5 } x ^ { 7 }$
E) $\log _ { 5 } ( x + 7 )$

Question

Quizplus · Accepted Answer

The properties of logarithms state that $\log_b m + \log_b n = \log_b (mn)$, so $\log _ { 5 } x + \log _ { 5 } 7 = \log _ { 5 } (7x)$.

Condense the Expression log⁡5x+log⁡57\log _ { 5 } x + \log _ { 5 } 7log5​x+log5​7

Condense the Expression $\log _ { 5 } x + \log _ { 5 } 7$