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

Use the logarithmic identity that states that the sum of two logarithms with the same base is equivalent to the logarithm of their product. $$\log_{5}x+\log_{5}7 = \log_{5}(x\cdot7) = \log_{5}7x$$ Therefore, the condensed expression is $\log_{5}{7x}$.

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

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