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Question

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 by using the properties of logarithms.

ln2 + lnx = 5
ln(2x) = 5

To solve for x, we can rewrite the equation in exponential form:

e^5 = 2x
x = e^5 / 2

Now, let's calculate the value of x:

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

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