1) using a graphic tool
see attached figure
n1
ph=0----->
for t=0.1
ph=1--------
> for t=0.01
2) using a graphic tool
see attached figure
n2
for
t=0.5------------------ > ph=-0.699
p(t) = −log10t------------------
> y= −log10t
convert the
logarithmic function into an exponential function
we have
10^y = 10^(<span><span>-log(t)) ------------
></span> 10</span>^(y)<span> =
1/t ---------- > t = 10</span>^(<span>-y)
</span>
t = 10^(-y)
<span><span>3)
</span>
p(t) = −log10t </span>
which
transformation results in a y-intercept (t=0)
<span> case
</span>
<span>
a) p(t)
+ 1</span>
p(t) = −log10t +1
Still here you can not have a Y intercept (t can't =0)
since you would still have log(0) which is forbidden
<span>
b) p(t
+ 1)</span>
p(t) = −log10(t+1)
<span>Here of course t can be
zero since that just gives you log(1). So you have a Y-intercept. </span>
using a graphic tool
see attached figure
n3b
for
t=0------------------------ph=-0.9
c) −1 • p(t)
p(t) = log10t
Still
here you can not have a Y intercept (t can't =0) since you would still have
log(0) which is forbidden