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ludmilkaskok [199]
3 years ago
6

Exponential function

Mathematics
1 answer:
laiz [17]3 years ago
5 0
A typical exponential function is y=ab^{x}
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=ab^{3.5}
3936.6=ab^{6}
divide the second equation by the first to eliminate a:
243=b^{(6-3.5)}
log both sides: log243=2.5logb
logb=log243/2.5
use your calculator to find b: b=3.6
plug b=3.6 in the first equation to find a:
16.2=a* (3.6)^{3.5}
a=0.183

please double check my calculation
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