SOLUTION: 5^(2x+1)�25=125

Question 1076450: 5^(2x+1)�25=125

Found 2 solutions by addingup, MathTherapy:
Answer by addingup(3677) (Show Source): You can put this solution on YOUR website!
5^(2x+1)�25=125
multiply both sides times 25
5^(2x+1) = 3125
log(5^(2x+1)) = log(3125)
Remember the rules of logs? The log of a number raised to a power is the power times the log of the number, like this:
(2x+1)log(5) = log(3125)
2x+1 = (log(3125))/log(5)
2x+1 = log_5(3125)
2x = (log_5(3125))-1
2x = 5-1
2x = 4
x = 2
Answer by MathTherapy(10552) (Show Source): You can put this solution on YOUR website!
5^(2x+1)�25=125

------- Cross-multiplying
------ Applying
2x + 1 = 3 + 2 ---------- Bases are equal and so are the exponents
2x = 4

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