Question 1139038
a logarithmic equation corresponding to the "graph shown"?????????

post your graph

go to http://tinypic.com/view.php?pic=256eiwh&s=9

upload your graph, copy and past here code: HTML for Websites

in your case is an inverse of {{{y=log(4,x)}}}, means exponential

{{{y=a*4^x}}}

use given point and you have

{{{y=a*4^(x-1)-3}}}

use ({{{2}}},{{{0}}}) to find {{{a}}}

{{{a = 3/4}}}

{{{y=(3/4)*4^(x-1)-3}}} or

{{{y = 3* 4^(x - 2) - 3}}}


{{{drawing( 600, 600, -5, 6, -5, 5,
circle(-1,-3,.06),locate(-1,-3,p(-1,-3)),locate(3,1,f(x)=log(4,x) ), locate(2,2,f(x)=3* 4^(x - 2)-3=(3/4)*4^(x-1)-3 ),
 graph( 600, 600, -5, 6, -5, 5, log(4,x), (3/4)*4^(x-1)-3,3* 4^(x - 2) - 3)) }}}