Question 1127673
.


            Since the solution by @gosgarithmetic contains a lot of errors,  giving the wrong answers   {{{highlight_green(b=2.96201)}}}  and   {{{highlight_green(a=3.9493)}}}, 

            I came to fix it.


            Find my correct solution below.


            And ignore that of  @josgarithmetic,  for your safety.



<pre>
y = {{{a*b^x}}}


Plug in the point coordinates

{{{system(ab^(-1)=4/3,ab^4=324)}}}


{{{(ab^4)/(ab^(-1))}}} = {{{324/(4/3)}}}


{{{b^5}}} = {{{(3*324)/4}}}


{{{b^5}}} = 3*81 = {{{3^5}}}


{{{highlight_green(b=3)}}}


Using either original equations,  {{{highlight_green(a=4)}}}.


<U>Answer</U>.  y = {{{4*3^x}}}.
</pre>

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Regarding @josgarithmetic, this person is VERY well known &nbsp;(or better to say, &nbsp;very badly known, &nbsp;unfortunately) &nbsp;in this forum,
for his inability to solve problems correctly and to make calculations accurately.



So be very careful when you obtain "solutions" from him.


In half of all cases &nbsp;(if not at most cases)&nbsp; they are wrong.


Do not trust him and always wait for reaction of other tutors.



In the normal school environment he would be fired in the second day.



I think about thousands of visitors and students who do understand almost nothing in Math and who were misguided 
by his false and wrong quasi- and pseudo-"solutions".



People, &nbsp;be careful about &nbsp;@josgarithmetic &nbsp;! &nbsp;&nbsp;! &nbsp;&nbsp;&nbsp;!