Solve algebraically: lnx−ln4=3
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.