Question 133653: What is the inverse of:
a) f(x)= log2(lnx)
b) f(x)= 7+10^2x+4
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! What is the inverse of:
a) f(x)= log2(lnx)
Interchange x and y[ then solve for y:
x = log2(lny)
lny = 2^x
y = e^(2^x)
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b) f(x)= 7+10^(2x+4)
Interchange x and y; then solve for y:
x = 7 + 10^(2y+4)
10^(2y+4) = x-7
Take the log of both sides:
2y+4 = log(x-7)
2y = log(x-7) - 4
y = (1/2)[log(x-7) -4]
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Cheers,
Stan H.
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