How to find the rule of this logarithm graph, (2nd question)?
1 Answer
Apr 15, 2018
The vertical asymptote will always be the corresponding value of
Thus we can we already say the graph is
#y = alog_e(x -1) + c#
We may also change the base
#y = aln(x - 1) +c#
We now set up a system of equations
#{(10 = aln(2) + c), (12 = aln(4) + c):}#
Subtract the second equation from the first:
#-2 = aln(2) - aln(4)#
#-2= a(ln(2) - ln(4))#
#-2 = aln(1/2)#
#-2/ln(1/2) = a#
I will leave solving for
Hopefully this helps!