Question

solve. write your answer as an integer or a fraction in simplest form.
$1 = 9^{x - 4}$
$x = \square$

Explanation:

Step1: Rewrite 1 as 9 to a power

Any non-zero number to the 0 power is 1, so $1 = 9^0$.
The equation becomes:
$9^0 = 9^{x-4}$

Step2: Set exponents equal (same base)

If $a^m = a^n$ and $a
eq0,1,-1$, then $m=n$.
So:
$0 = x - 4$

Step3: Solve for x

Add 4 to both sides:
$x = 4$

Answer:

$4$