SOLUTION: 4^(x+1)= (1/8)^(x+6)

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Question 975484: 4^(x+1)= (1/8)^(x+6)
Found 2 solutions by Edwin McCravy, MathTherapy:
Answer by Edwin McCravy(20060)   (Show Source): You can put this solution on YOUR website!


Replace 4 by 2² and 8 by 2³ 



Remove parentheses by distributing (multiplying) exponents:





Multiply both sides by 



Add exponents of 2



Since we know that ,

5x+20 = 0
   5x = -20
    x = -4

Edwin
Answer by MathTherapy(10552)   (Show Source): You can put this solution on YOUR website!
4^(x+1)= (1/8)^(x+6)


 ------ Replacing 4 with , and  with 



2x + 2 = - 3x – 18 ------- Since bases are equal, their exponents are too

2x + 3x = - 18 – 2

5x = - 20

x = , or  

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