identify the conditions on x that make the following statement true, if they can be made true at all:

Question

identify the conditions on x that make the following statement true, if they can be made true at all:

9^x > 1

9^x < 1

9^x = 1

9^x = 0

9^x < 0

what is the question asking for?

Answer 1

consider y = 9^x

and look at its graph

http://www.wolframalpha.com/input/?i=plot+y+%3D+9%5Ex

You might want to change the equation to y = 2^x in the input window of Wolfram to show the shape is basically the same for any positive base > 1.

if x = 0 , 9^x = 1
if x is positive, 9^x > 1
if x is negative 9^x < 1

There is no value of x which makes 9^x = 0
nor can 9^x ever be < 0

Answer 2

Do i need to replace x to a number? or the question just asking to explain how x can become that equation like your answer ?

if x = 0 , 9^x = 1
if x is positive, 9^x > 1
if x is negative 9^x < 1

There is no value of x which makes 9^x = 0
nor can 9^x ever be < 0

Answer 3

what I stated is true for any positive base > 1

thus it is true for 9^x

Answer 4

The question is asking for the conditions on the variable x that would make each of the given statements true. Specifically, it wants to know what values of x would satisfy the inequalities and equations involving the expression 9^x.