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solve: 5^(x+1)=2(3^(2x))   thanks!

 Feb 23, 2015

Best Answer 

 #1
avatar+130516 
+5

5^(x+1)=2(3^(2x)    this is equivalent to

5*5^x = 2(3^2)^x =

5*5^x = 2*9^x

This is probably best done graphically....{I can already see that the solution lies between x= 1 and x = 2}

Here's the graph ..........https://www.desmos.com/calculator/qrwslp9g9j

The solution is about (1.559, 61.46).......

 

 Feb 23, 2015
 #1
avatar+130516 
+5
Best Answer

5^(x+1)=2(3^(2x)    this is equivalent to

5*5^x = 2(3^2)^x =

5*5^x = 2*9^x

This is probably best done graphically....{I can already see that the solution lies between x= 1 and x = 2}

Here's the graph ..........https://www.desmos.com/calculator/qrwslp9g9j

The solution is about (1.559, 61.46).......

 

CPhill Feb 23, 2015

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