SOLUTION: Use logarithms to solve the equation 4^x=2(3^x), giving your answer correct to 3 significant figures.

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Question 865079: Use logarithms to solve the equation 4^x=2(3^x), giving your answer correct to 3 significant figures.
Answer by jim_thompson5910(35256)   (Show Source): You can put this solution on YOUR website!
Start with the given equation.


Apply the natural log to both sides


Using rule 1


Using rule 3


Subtract from both sides.


Factor out x


Using rule 2


Divide both sides by to isolate x.


Using a calculator here


Rounding to 3 significant figures

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