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50= 20.455ln(x) - 55.771

Guest Jun 10, 2017
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Solve for x:
50 = 20.455 log(x) - 55.771

20.455 log(x) - 55.771 = (4091 log(x))/200 - 55771/1000:
50 = (4091 log(x))/200 - 55771/1000

50 = (4091 log(x))/200 - 55771/1000 is equivalent to (4091 log(x))/200 - 55771/1000 = 50:
(4091 log(x))/200 - 55771/1000 = 50

Add 55771/1000 to both sides:
(4091 log(x))/200 = 105771/1000

Multiply both sides by 200/4091:
log(x) = 105771/20455

Cancel logarithms by taking exp of both sides:
Answer: | x = e^(105771/20455) = 176.07530230079033

P.S. I have taken the "natural log" of x. If you want the common log(base 10), then x =148,222.

Guest Jun 10, 2017
edited by Guest  Jun 10, 2017

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