SOLUTION: Solve for x as a function of t. Answers must be exact, not decimal. ln(x+4)+ln(x-4)=9t
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Question 92633
:
Solve for x as a function of t. Answers must be exact, not decimal.
ln(x+4)+ln(x-4)=9t
Answer by
stanbon(75887)
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ln(x+4)+ln(x-4)=9t
=ln[(x+4)(x-4)] = 9t
= ln[(x^2-16)] = 9t
e^(9t) = x^2-16
x^2 = 16+e^9t
x = [sqrt(16+e^9t)] or x = [-sqrt(16+e^9t]
==============
Cheers,
stan H.