Answer
$ x=e^{2/0.48}-1\approx 63.5$
Work Step by Step
Solve $0.48\ln(x+1)+27=29$
(1)
We graph $ g(x)=29$ in the same window and find the x-coordinate of the intersection point.
The graph gives $ x=63.5.$
$(2)$
Algebraically, start by subtracting 27 from both sides.
$ 0.48\ln(x+1)=2\qquad $ ... $/\div 0.48$
$\displaystyle \ln(x+1)=\frac{2}{0.48}\qquad $ ... $/e^{(...)}$
$ x+1=e^{2/0.48}$
$ x=e^{2/0.48}-1\approx 63.5000930649$
which is verified by the graphing result.
