Question

question 6 of 10
the function ( f(x) = log_{5} x ) is decreasing.

a. true

b. false

Explanation:

Step1: Recall Logarithmic Function Rule

For a logarithmic function \( f(x)=\log_b x \), if \( b > 1 \), the function is increasing; if \( 0 < b < 1 \), the function is decreasing.

Step2: Analyze Given Function

In the function \( F(x)=\log_5 x \), the base \( b = 5 \), and \( 5>1 \). So \( F(x)=\log_5 x \) is an increasing function, not decreasing.

Answer:

B. False