SOLUTION: Let f(x) = (1/2)^x-1 and g(x) = 8^2x+4. Find the point of intersection between f(x) and g(x) algebraically. Express your point of intersection in radical form instead of rounding

Algebra ->  Test -> SOLUTION: Let f(x) = (1/2)^x-1 and g(x) = 8^2x+4. Find the point of intersection between f(x) and g(x) algebraically. Express your point of intersection in radical form instead of rounding       Log On


   

Question 1053739: Let f(x) = (1/2)^x-1 and g(x) = 8^2x+4. Find the point of intersection between f(x) and g(x) algebraically. Express your point of intersection in radical form instead of rounding
Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
f%28x%29=%281%2F2%29%5E%28x-1%29=2%5E%28-%28x-1%29%29=2%5E%281-x%29
g%28x%29=8%5E%282x%2B4%29=2%5E%283%2A%282x%2B4%29%29
So then,
f%28x%29=g%28x%29
2%5E%281-x%29=2%5E%283%2A%282x%2B4%29%29
1-x=3%282x%2B4%29
1-x=6x%2B12
-7x=11
x=-11%2F7
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