SOLUTION: This is a hard question for me to type properly, I hope someone understands. Solve: [cubedroot (8^(x+1))/(16^x)]=32 I think I can also type it like this: (8^(x+1)/16^x)^(1/3) =32

Algebra ->  Quadratic Equations and Parabolas  -> Quadratic Equations Lessons  -> Quadratic Equation Lesson -> SOLUTION: This is a hard question for me to type properly, I hope someone understands. Solve: [cubedroot (8^(x+1))/(16^x)]=32 I think I can also type it like this: (8^(x+1)/16^x)^(1/3) =32      Log On


   

Question 134646: This is a hard question for me to type properly, I hope someone understands.
Solve: [cubedroot (8^(x+1))/(16^x)]=32 I think I can also type it like this: (8^(x+1)/16^x)^(1/3) =32 .
Answer by vleith(2983) About Me  (Show Source):
You can put this solution on YOUR website!
Nice problem!!!
Given : %28%288%5E%28x%2B1%29%2F16%5Ex%29%29%5E%281%2F3%29+=32
Cube both sides
%28%288%5E%28x%2B1%29%2F16%5Ex%29%29+=32%5E3
%288%5E%28x%2B1%29%29+=32%5E3+%2A+16%5Ex
+%288%5E%28x%2B1%29%29=+%2816%2A2%29%5E3+%2A+16%5Ex
+%288%5E%28x%2B1%29%29=+8+%2A+16%5E%28x%2B3%29
+8%5Ex+=+16%5E%28x%2B3%29
+%2816%2F2%29%5Ex+=+16%5E%28x%2B3%29
+2%5E%28-x%29+=+16%5E3+
+2%5E%28-x%29+=+%282%5E4%29%5E3+
x = -12
verify by plugging -12 back into the original equation
Thanks for the problem., it was fun