SOLUTION: 2 log base 3 9x= 8

Question 149961: 2 log base 3 9x= 8
Answer by jim_thompson5910(35256) (Show Source): You can put this solution on YOUR website!
Start with the given equation.

Rewrite the left side using the identity

Square to get

Rewrite the equation using the property: ====>

Rewrite as

Divide both sides by .

Divide the terms on the left side by subtracting the exponents.

Subtract

Raise 3 to the 4th power to get 81

Take the square root of both sides.

or Take the square root of to get or

Since you cannot take the log of negative number, this means that we must disregard the possible solution

So the only solution is
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