Answer:
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:
