Question 1137986
{{{ y = k*e^(cx) }}}  where k,c are unknown constants
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Using (0,3):
{{{y = k*e^(0) }}}  
 k=3<br>

Using (3,375):
{{{ 375 = 3*e^(c(3)) }}}
{{{ 125 = e^(c*3) }}}
{{{ ln(125) = 3c }}}
{{{ c = ln(125)/3 = 1.6094379 }}}<br>

{{{ highlight(y = 3*e^(1.6094379x)) }}} 
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Check:
x=0 --> y=3*e^0 = 3 (ok)
x=3 --> y=3*e^(3*1.6094379) = 375.0  (ok)

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Note that this is the same answer as the other tutor's answer: 3*5^x
b/c  {{{ e^(1.6094379x) = (e^(1.6094379))^x = (5)^x }}}