Question

Find the solution to the logarithmic equation correct to 4 decimal places. x =

Answer 1

Let's solve the equation:

$\begin{gathered} 22-\ln (5-x)=0 \\ \ln (5-x)=22 \\ e^{\ln (5-x)}=e^{22} \\ 5-x=e^{22} \\ x=5-e^{22} \\ x=-3.5849\times10^9 \end{gathered}$

Therefore the solution is:

$x=-3.5849\times10^9$