This is a college algebray problem I know the answer is C Pl

This is a college algebray problem. I know the answer is C. Please show the work for arriving at this answer.

Wc ction represents the plot of f(x) log,(x)? 20. Which function represents the plot of f(x) -log,(x)? -3-2-1 12 3 3 -2-1 3 21

Solution

f(x) = log₂(x)

Find the x intercept: f(x) = 0

So, 0 = log₂(x) ----> 2^0 = x

x = 1.So, point is ( 1, 0)

So, out of the optins given only graph passes through( 1, 0)

Optioin C