SOLUTION: solve the equation 4^2x+1=2^3x+6 this is what I did. (2^2)^2x+1=2^3x+6 2^4x+1=2^3x+6 4x+1=3x+6 x=5 IS this correct?

Question 62091: solve the equation 4^2x+1=2^3x+6
this is what I did.

(2^2)^2x+1=2^3x+6
2^4x+1=2^3x+6
4x+1=3x+6
x=5
IS this correct?
Found 2 solutions by joyofmath, Earlsdon:
Answer by joyofmath(189) (Show Source): You can put this solution on YOUR website!
solve the equation 4^2x+1=2^3x+6
You were very close but you calculated that 2*(2x+1) = 4*x+1 when it is in fact 4*x+2.
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Check your answer and you would have caught the mistake.
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Answer by Earlsdon(6294) (Show Source): You can put this solution on YOUR website!
You almost got it!

Recall:

Check:
= 262144
= 262144
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