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.
-$$\log _ { 5 } 250 - \log _ { 5 } 2$$
A) $\log _ { 5 } 250 ^ { 1 / 2 }$
B) $\log _ { 5 } 248$
C) 3
D) $\log _ { 5 } 500$

Question

Quizplus · Accepted Answer

Using the property $\log_b M - \log_b N = \log_b \frac{M}{N}$, the expression becomes $\log_5 \frac{250}{2} = \log_5 125$. Since $125 = 5^3$, $\log_5 125 = 3$.

Use Properties of Logarithms to Condense the Logarithmic Expression log⁡5250−log⁡52\log _ { 5 } 250 - \log _ { 5 } 2log5​250−log5​2

Use Properties of Logarithms to Condense the Logarithmic Expression $\log _ { 5 } 250 - \log _ { 5 } 2$