jeremiaht7
11.10.2019 •
Mathematics
Which function is the inverse of ?
f(x)=50,000(0.8)^x
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Ответ:
y=log(x)−log(50000)log(0.8)
Explanation:write as : y=50000(0.8)x
Taking logs:
log(y)=log(50000)+log(.(0.8)x.)
But log(.(0.8)x.) is the same as xlog(0.8)
Thus
x=log(y)−log(50000)log(0.8)
Now swap the x'x and the y's giving:
y=log(x)−log(50000)log(0.8)
my teacher helped a little bit
Ответ: