SOLUTION: solve the equation {{{4^(2x+1)=2^(3x+6)}}} a. -5 b. 2 c. 4 d. 5

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Question 79503: solve the equation
a. -5
b. 2
c. 4
d. 5
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!

solve the equation 
a. -5
b. 2
c. 4
d. 5

42x+1 = 23x+6

Write 4 as 22

(22)2x+1 = 23x+6

Remove the parentheses on the left by 
multiplying the exponents:

24x+2 = 23x+6

Set the powers of 2 equal on both sides:

4x + 2 = 3x + 6

     x = 4

Edwin
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