Decide whether the statement is true or false.
-$$\frac { \log _ { 5 } 150 } { \log _ { 5 } 30 } = 1$$
A) False
B) True

Question

Quizplus · Accepted Answer

The statement is false because using the properties of logarithms, specifically the quotient rule, the expression simplifies to $\log_5(150/30) = \log_5(5)$, which equals 1. However, the original statement suggests that the entire expression equals 1 without this simplification, which is misleading.

Decide Whether the Statement Is True or False log⁡5150log⁡530=1\frac { \log _ { 5 } 150 } { \log _ { 5 } 30 } = 1log5​30log5​150​=1

Decide Whether the Statement Is True or False $\frac { \log _ { 5 } 150 } { \log _ { 5 } 30 } = 1$