Enter your answer and show all the steps that you use to solve this problem in the space provided. Solve ln2+lnx=5 . Round to the nearest thousandth, if necessary.

Answer 1

To solve the equation ln2 + lnx = 5, we can combine the logarithms using the property that ln(a) + ln(b) = ln(ab):

ln(2x) = 5

Next, we need to convert the equation from logarithmic form to exponential form:

e^5 = 2x

Solving for x:

e^5 = 148.413
x = 148.413 / 2
x = 74.207

Therefore, the solution to the equation ln2 + lnx = 5 is x ≈ 74.207.