For what value of x does 3^2x=9^3x-4
2 answers:
ANSWER
The value of x for which
is
EXPLANATION
The given equation is
This is an indicial equation or an exponential equation in x.
We can see that, this time, the variable is in the numerator.
So we need to express both sides of the equation to the same base to obtain,
Since the base are the same, we can now equate the exponents to get,
When we divide both sides of the equation by 2, we obtain,
We now group like terms to obtain,
We simplify the left hand side to get,
We finally divide through by negative 2 to obtain,
Therefore the correct answer is B.
The value of x for which
is
EXPLANATION
The given equation is
This is an indicial equation or an exponential equation in x.
We can see that, this time, the variable is in the numerator.
So we need to express both sides of the equation to the same base to obtain,
Since the base are the same, we can now equate the exponents to get,
When we divide both sides of the equation by 2, we obtain,
We now group like terms to obtain,
We simplify the left hand side to get,
We finally divide through by negative 2 to obtain,
Therefore the correct answer is B.
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<h2>1)</h2>
This must be true for some value of x, since we have a quantity squared yielding a positive number, and since the equation is of second degree,there must exist 2 real roots.
Well he started off correct to the point of completing the square.