Question

what is the value of x if $5^{x + 2} = 5^9$?
$\bigcirc$ $x = -11$
$\bigcirc$ $x = -7$
$\bigcirc$ $x = 7$
$\bigcirc$ $x = 11$

Explanation:

Step1: Use exponent property

For \( a^m = a^n \) (where \( a
eq0,1,-1 \)), we have \( m = n \). Here \( a = 5 \), so \( x + 2=9 \).

Step2: Solve for x

Subtract 2 from both sides: \( x=9 - 2=7 \).

Answer:

\( x = 7 \) (corresponding to the option "x = 7")