Solve algebraically: lnx−ln4=3

Answer 1

To solve the equation algebraically, we can first combine the logarithms using the property of logarithms that states ln(a) - ln(b) = ln(a/b):

lnx - ln4 = 3

ln(x/4) = 3

Now, we can rewrite the equation in exponential form:

x/4 = e^3

x = 4e^3

Therefore, x = 4e^3 is the solution to the equation ln(x) - ln(4) = 3.