To find: We have to solve the equation 2x-5=3 for x.
The solution of the equation is x=5+ln3ln2.
Calculation: First, we are taking natural logarithmic on both sides of the equation 2x-5=3
. Thus, we have
Since we know that
Thus, using equation (1), we have
To find: We have to solve the equation - lnx+lnx-1=1, for x.
The solution of the equation is x=1±1+4e2.
Formula used: lna+lnb=lnab and elnx=x
Using the above formula, we have
Now, by applying exponential function on both sides, we have
and using above formula we have,
Conclusion: The solution of the equation is x=1±1+4e2.