SOLUTION: 2log base3(x+4)=log base 3 9+2 solve for x

Question 134542This question is from textbook
: 2log base3(x+4)=log base 3 9+2
solve for x This question is from textbook

Answer by solver91311(24713) (Show Source): You can put this solution on YOUR website!
You either meant: or

Let's assume you meant the first one:
, so:

=>

or

and finally,

However, since , . That means that and .

The domain of is , so the domain of must be

Therefore, must be excluded since it represents a value that would make be outside of the domain of .

is in the domain of , therefore completely describes the solution set for the given equation.

On the other hand, if you really meant:

Then begin with the same rule for logarithms used above, namely: to write:

Since if and only if , we can say if and only if and therefore , hence:

Again using if and only if , we can write:

Taking the square root of both sides:

or

And
or . Using the same logic as above, exclude any root less than -4. is the single element of the solution set.
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