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