Question

select the correct answer.
what is the solution to this equation?
$9^x - 1 = 2$
a. 1
b. $\frac{1}{2}$
c. $-\frac{1}{2}$
d. 2

Explanation:

Step1: Isolate the exponential term

$9^x = 2 + 1$
$9^x = 3$

Step2: Rewrite bases to match

$9^x = 3^1$
$(3^2)^x = 3^1$
$3^{2x} = 3^1$

Step3: Equate exponents and solve

$2x = 1$
$x = \frac{1}{2}$

Answer:

B. $\frac{1}{2}$