SOLUTION: Solving exponential and logarithmic equations. Solve the equation. Then check for extraneous solutions. 2(3)exponent 2x = 5

SOLUTION: Solving exponential and logarithmic equations. Solve the equation. Then check for extraneous solutions. 2(3)exponent 2x = 5

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Question 1074814: Solving exponential and logarithmic equations.
Solve the equation. Then check for extraneous solutions. 2(3)exponent 2x = 5
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
2*3^(2x)=5. This is how I interpret the equation.
3^(2x)=2.5
2x log 3=log 2.5
2x=log (2.5)/log (3)
2x=0.8340
x=0.4170
3^(0.8340)=2.5 as a check
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