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Please solve this for me 5^(2*x) = 25

 Aug 22, 2016
 #1
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5^(2*x) = 25

 

5^(2*x)=5^2 Equate the exponents

2*x =2 divide both sides by 2

x =2/2

x=1

 Aug 22, 2016
 #2
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\(\ln (5^{2x})=\ln 25\\ 2x \ln 5 = \ln 25\\ x \ln 5^2 = \ln 25\\ x = \ln25 / \ln 25 = 1\)

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 Aug 23, 2016

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