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Schroeder
Mathematics
24 October, 03:57
Identify the solution set of 3 ln 4 = 2 ln x.
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Francesca Jacobson
24 October, 04:14
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x=8
Step-by-step explanation:
3 ln 4 = 2 ln x.
We know that a ln b = ln b^a
ln 4^3 = ln x^2.
Raise each side to the base e
e^ln 4^3 = e^ln x^2
4^3 = x^2
64 = x^2
Take the square root of each side
±sqrt (64) = sqrt (x^2)
±8 = x
But x cannot be negative
x=8
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