SOLUTION: Please Help! 25= √5^(2x+6) explain the strategy used in solving this equation the way you did

SOLUTION: Please Help! 25= √5^(2x+6) explain the strategy used in solving this equation the way you did

Algebra.Com

Question 740160: Please Help!
25= √5^(2x+6)
explain the strategy used in solving this equation the way you did
Answer by rothauserc(4718) (Show Source): You can put this solution on YOUR website!
first note that sqrt(5) = 5^1/2
with that we can rewrite the equation
25 = (5^1/2)^(2x+6)
multiply the exponents on the right side of = sign
25 = 5^(x+3)
and x = -1 since 5^2 = 25

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