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Hello friends, please, I need to know how to get the answer out of this exponential equation?

1 Answer

Nov 3, 2016

#x=3/4#

Explanation:

Recall that #sqrtx=x^(1/2), and x^a*x^b=x^(a+b)#,

#5^(2x+1)=25sqrt5#
#=> 5^(2x+1)=5^2*5^(1/2)=5^(2+1/2)=5^(5/2)#
#=> 2x+1=5/2#
#=> 2x=5/2-1=3/2#
#x=3/2*1/2=3/4#

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