#1**0 **

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