Question Solve the elementary exponential equation $3^{x} - 9 = 0$ .

Studdy Solution

STEP 1

Assumptions1. The base of the exponent is3. The equation is in the form of $3^{x}-9=0$

STEP 2

First, we need to isolate the exponential term. We can do this by adding9 to both sides of the equation.
$^{x} =9$

STEP 3

Now, we can rewrite the equation in a way that will allow us to solve for x. We can do this by expressing9 as $3^{2}$ .
$3^{x} =3^{2}$

STEP 4

Now that the bases are the same, we can set the exponents equal to each other.
$x =2$ So, the solution to the equation $3^{x}-9=0$ is $x =2$ .

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