[tex]\mathbb{ \underline{SOLUTION:}}[/tex]
Using exponent rule [tex] \large \tt \: a {}^{b} {}^{.} {a}^{c} = {a}^{b + c} \\ [/tex]
- [tex] \large \tt {5}^{x + 2} = {5}^{x} {}^{.} {5}^{2} = 25 {}^{.} {5}^{x} \\ [/tex]
If [tex] \tt {5}^{x} = 100[/tex] then:
- [tex] \large \tt25 {}^{.} {5}^{x} = 25 {}^{.} 100 = \red{2500}[/tex]
[tex]\mathbb{ \underline{ANSWER:}}[/tex]
Therefore, the answer is 2500 .
[tex] \\ [/tex]
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