3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtrcted by 6

x = -0.5

Step-by-step explanation:

Here we have the sentence:

"3 to the power 2x+3 is subtracted by 9 which is equal to 2 times 9 to the power x+1 and is subtracted by 6"

The first part:

"3 to the power 2x+3 is subtracted by 9..."

This can be written as:

"... is equal to 2 times 9 to the power x+1 and is subtracted by 6"

Let's solve this for x.

First, we can add 9 in both sides:

We also know the relations:

and

We can write the left part as:

And the right side as:

Then the equation becomes:

Now let's move both terms with 9^x to the left side:

Now remember that:

Ln(a^b) = b*Ln(a)

Then if we apply the Ln( ) function to both sides, we get:

what does x eaqual

step-by-step explanation: