Question 1148726
{{{ y = a*b^x }}}
( -3, 2/9 )
{{{ 2/9 = a*b^(-3) }}}
{{{ a = (2/9)*b^3 }}}
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( 2, 18 )
{{{ 18 = a*b^2 }}}
{{{ 18 = (2/9)*b^3*b^2 }}}
{{{ (9/2)*18 = b^5 }}}
{{{ b^5 = 81 }}}
{{{ b^5 = 3^4 }}}
{{{ b = 3^(4/5) }}}
and
{{{ a = (2/9)*b^3 }}}
{{{ a = (2/9)*3^(12/5) }}}
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{{{ y =  (2/9)*3^(12/5)*3^(( (4/5)*x )) }}}
{{{ y = (2/9)*3^(( 12/5 + (4/5)*x )) }}}
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check:
( -3, 2/9 )
{{{ y = (2/9)*3^( 12/5 + (4/5)*x ) }}}
{{{ 2/9 = (2/9)*3^(( 12/5 + (4/5)*(-3) )) }}}
{{{ 2/9 = (2/9)*3^0 }}}
{{{ 2/9 = 2/9 }}}
OK
( 2, 18 )
{{{ y = (2/9)*3^( 12/5 + (4/5)*x ) }}}
{{{ 18 = (2/9)*3^( 12/5 + (4/5)*2 ) }}}
{{{ 81 = 3^(( 12/5 + (4/5)*2 )) }}}
{{{ 81 = 3^( 20/5 ) }}}
{{{ 81 = 3^4 }}}
{{{ 81 = 81 }}}
OK
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