# Question #96b06

##### 3 Answers

See below.

#### Explanation:

See answer below

#### Explanation:

You must use the intermediate value theorem

let

and

Then there is a value

It is explained below

#### Explanation:

Given

Or -x = 3 ln x. This expression signifies that for all real x, x cannot be less than or equal to 0.

Now, in the logarithmic equation the LHS has - x, while it has a positive expression 3ln x on the RHS. This would be possible only if x is less than 1

Thus it is proved that x would lie between 0 and 1