Question

Teach the class how to solve an exponential equation of your choice. remember that teaching requires detailed explanation, as well as the actual math notation.

Answer 1

Let the exponential equation be $3^{2x-4}=9^{2x+6}$.

The solution of this exponential equation is x = -8.

Here, we have to find the value of x to solve the equation.

In questions like these, first we try to make the base of the exponent same.

Here, the bases are 3 and 9.

We know that, $3^{2}=9$

Hence, we can rewrite the equation as:-

$3^{2x-4}=3^{2(2x+6)}\\\\3^{2x-4}=3^{4x+12}$

Now, our bases are same, that is 3,

Now, we can compare the data given in the power of the bases.

Hence,

2x - 4 = 4x + 12

Now, the question is reduced to a linear equation which we can solve  easily.

4x - 2x = - 4 - 12

2x = -16

x = -16/2

x = -8

To learn more about exponential equation, here:-

https://brainly.com/question/15269424

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