Exponential function
1 answer:
A typical exponential function is y=a
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a
3936.6=a
divide the second equation by the first to eliminate a:
243=
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
a=0.183
please double check my calculation
when x=3.5, y=16.2
when x=6, y=3936.6
plug these values into the exponential function:
16.2=a
3936.6=a
divide the second equation by the first to eliminate a:
243=
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
a=0.183
please double check my calculation
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x = 3/5
Explanation: divide both sides by 35 and reduce the fraction 21/35 to get 3/5.