Question 156731
{{{y=ca^x }}} Start with the given equation



{{{50=ca^3 }}} Plug in {{{x=3}}} and {{{y=50}}}



{{{50/a^3=c }}} Divide both sides by {{{a^3}}} to isolate "c"



{{{c=50/a^3}}} Rearrange the equation



{{{y=ca^x }}} Start with the given equation



{{{1=ca^2 }}} Plug in {{{x=2}}} and {{{y=1}}}



{{{1=(50/a^3)a^2 }}} Plug in {{{c=50/a^3}}}



{{{1=(50a^2)/(a^3) }}} Multiply




{{{1=50/a }}} Reduce



{{{a=50 }}} Multiply both sides by "a" 



So the solution is {{{a=50 }}}