Question

question 9 (mandatory) (1 point) if 3^{2x}+9 = 90, then x is equal to a) 4 b) 5 c) 3 d) 2

Explanation:

Step1: Isolate the exponential term

Subtract 9 from both sides of the equation $3^{2x}+9 = 90$.
$3^{2x}=90 - 9$
$3^{2x}=81$

Step2: Rewrite 81 as a power of 3

Since $81 = 3^4$, the equation becomes $3^{2x}=3^4$.

Step3: Equate the exponents

If $a^m=a^n$, then $m = n$. So, $2x=4$.

Step4: Solve for x

Divide both sides of the equation $2x = 4$ by 2.
$x=\frac{4}{2}$
$x = 2$

Answer:

d) 2