### Home > A2C > Chapter 12 > Lesson 12.2.1 > Problem12-98

12-98.

Describe the possible values of $x$ that would make each of the following statements true.

1. $\operatorname{log} x \gt 3b$

$x \gt 1000$

1. $\operatorname{log} x \lt 1$

Remember to consider where log $x$ is undefined.

1. $\operatorname{log} 100 \lt x$

See part (a).

1. $\operatorname{log}_{x }27 \gt 3$

Consider where logx 27 is undefined.

$0 \lt x \lt 1 \text{ or } 1 \lt x \lt 3$