Solve algebraically:

Question

ln4+lnx=10

Answer 1

ln4 + lnx = 10

Using the property of logarithms that ln(a) + ln(b) = ln(ab), we can combine ln4 and lnx:

ln(4x) = 10

Now, we need to get rid of the natural logarithm. We can do this by taking the exponential of both sides.

e^ln(4x) = e^10

4x = e^10

Now, divide by 4 to solve for x:

x = e^10 / 4

Therefore, the solution to the equation ln4 + lnx = 10 is x = e^10 / 4.