## Algebra and Trigonometry 10th Edition

Published by Cengage Learning

# Chapter 5 - 5.2 - Logarithmic Functions and Their Graphs - 5.2 Exercises - Page 379: 41

#### Answer

Domain: $x\gt0$ or $(0,∞)$ x-intercept: $(1,0)$ $x=0$ (y-axis) is the vertical asymptote.

#### Work Step by Step

$f(x)=\log_4x$ Domain: $x\gt0$ or $(0,∞)$ x-intercept: $f(x)=\log_4x=0$ $4^0=x$ $x=1$. So, the x-intercept point is $(1,0)$ $\log_ax→-∞$ when $x→0^+$. Then $x=0$ (y-axis) is the vertical asymptote.

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