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Question

Solve ln 2 + ln x = 5
. Round to the nearest thousandth, if necessary.

Answer 1

To solve the equation ln 2 + ln x = 5, we can combine the logarithms using the product rule, which states that ln a + ln b = ln(ab).

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

Now, we can rewrite the equation in exponential form:

e^5 = 2x

Solve for x:

x = e^5 / 2
x ≈ 33.115

So, the solution to the equation ln 2 + ln x = 5 is x ≈ 33.115.