Answer:
2500
Step-by-step explanation:
Using exponent rule [tex]a^b \cdot a^c=a^{b+c}[/tex]
[tex]\implies 5^{x+2}=5^x \cdot 5^2=25 \cdot 5^x[/tex]
If [tex]5^x=100[/tex] then:
[tex]\implies 25 \cdot 5^x=25 \cdot 100=2500[/tex]