Wednesday, May 21, 2014

If y=-7log5(2x), find inverse function.

y=log5%28%282x%29%5E-7%29
5%5Ey=1%2F%282x%29%5E7
%282x%29%5E7=1%2F5%5Ey
2x=1%2F5%5E%28y%2F7%29
x=1%2F%282root%287%2C5%5Ey%29%29
so the inverse is
g%28x%29=1%2F%282root%287%2C5%5Ex%29%29
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