Please solve for x in this logarithmic equation? 4^x + 2^(x+1) = 60

  • Thread starter Cuisine123
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Homework Statement


4x + 2(x+1) = 60


Homework Equations


N/A

The Attempt at a Solution


4x + 2(x+1) = 60
22x + 2(x+1) = 60

I don't know where to go from there.
 

Answers and Replies

  • #2
Mentallic
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edit: ehild has the correct solution.
 
Last edited:
  • #3
ehild
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The Attempt at a Solution


4x + 2(x+1) = 60
22x + 2(x+1) = 60

I don't know where to go from there.


You are on the right track. Note that [itex]2^{(x+1)}=2\cdot 2^x[/itex] and [itex]2^{2x}= (2^x)^2[/itex]. Then choose 2^x as new variable and solve the resultant second order equation.

ehild
 

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