<PRE><B>Question 1087279</B>
5^(2x+1) = 25^(x) * 5^(3x)
:
Note 25^(x) * 5^(3x) = (5^2)^(x) * 5^(3x) = 5^(2x) * 5^(3x) = 5^(5x)
:
5^(2x+1) = 5^(5x)
:
take logarithms of both sides of =
:
log(5) (2x+1) = 5log(5) (x)
:
divide both sides of = by log(5)
:
2x + 1 = 5x
:
3x = 1
:
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x = 1/3 
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:
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