SOLUTION: Find x to 4 decimal places: 1n x- 41n 3 = 1n(5/x)

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Question 35396This question is from textbook
: Find x to 4 decimal places: 1n x- 41n 3 = 1n(5/x) This question is from textbook

Answer by rapaljer(4671) About Me  (Show Source):
You can put this solution on YOUR website!
With this correction made, ln x - 4 ln 3 = ln(5/x)
ln x - 4 ln 3 = ln 5 - ln x

Add ln x and 4 ln 3 to each side:
2 ln x = ln 5 + 4 ln 3
Divide by 2, and you should get
ln+x+=+%28ln+5+%2B+4+ln+3%29%2F+2+

Raise both sides as a power of e, and the answer should be

x+=+e%5E+%28%28ln+5+%2B+4+ln+3%29%2F2%29

With a calculator, I get about 20.12, and this checks by graphing calculator methods of solving equations.

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