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

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: Solving exponential and logarithmic equations. Solve the equation. Then check for extraneous solutions. 2(3)exponent 2x = 5      Log On


   

Question 1074814: Solving exponential and logarithmic equations.
Solve the equation. Then check for extraneous solutions. 2(3)exponent 2x = 5
Answer by Boreal(15235) About Me  (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