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

Algebra ->  Exponential-and-logarithmic-functions -> SOLUTION: solve the equation {{{4^(2x+1)=2^(3x+6)}}} a. -5 b. 2 c. 4 d. 5      Log On


   

Question 79503: solve the equation 4%5E%282x%2B1%29=2%5E%283x%2B6%29
a. -5
b. 2
c. 4
d. 5
Answer by Edwin McCravy(20060) About Me  (Show Source):
You can put this solution on YOUR website!

solve the equation 4%5E%282x%2B1%29=2%5E%283x%2B6%29
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