what is the value of x if $5^{x + 2}=5^{9}$?\n$x=-11$\n$x=-7$\n$x = 7$\n$x = 11$
what is the value of x if $5^{x + 2}=5^{9}$?\n$x=-11$\n$x=-7$\n$x = 7$\n$x = 11$
Answer
Explanation:
Step1: Apply exponential - equality rule
If (a^m=a^n), then (m = n). Here (a = 5), (m=x + 2), and (n = 9). So we get the equation (x+2=9).
Step2: Solve for (x)
Subtract 2 from both sides of the equation (x+2=9). We have (x=9 - 2).
Answer:
C. (x = 7)