Use properties of logarithms to condense the logarithmic expression. Write the expression as a single logarithm whose
coefficient is 1. Where possible, evaluate logarithmic expressions.
-$\log _ { 5 } 15 - \log _ { 5 } 3$
A) 1
B) $\log _ { 5 } 151 / 3$
C) $\log _ { 5 } 45$
D) $\log _ { 5 } 12$

Question

Quizplus · Accepted Answer

The properties of logarithms allow us to subtract two logs with the same base by dividing their arguments: $\log _ { 5 } 15 - \log _ { 5 } 3 = \log _ { 5 } (15/3) = \log _ { 5 } 5$, which simplifies to 1 because $\log _ { b } b = 1$.

Use Properties of Logarithms to Condense the Logarithmic Expression log⁡515−log⁡53\log _ { 5 } 15 - \log _ { 5 } 3log5​15−log5​3

Use Properties of Logarithms to Condense the Logarithmic Expression $\log _ { 5 } 15 - \log _ { 5 } 3$