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If $5^x=100$, what is the value of $5^{x+2}$?

 Aug 2, 2020
 #1
avatar+36915 
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5x = 100        Multiply both sides by  52

5x+2  = 100 * 52    =    100 * 25 = .......

 Aug 2, 2020
 #2
avatar+9 
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We know that 5^x is 100, and we can multiply both sides by 5^2 to get 5^(x+2) = 100 x 25, which is 2500.

 Aug 2, 2020

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