How do you solve 2-6lnx=10?

1 Answer
Aug 10, 2017

Work it like a normal algebra problem to get ln x on one side. Then use a calculator or log tables.

Explanation:

Until you get to the actual logarithm the math is the same as for any algebra equation.

2 − 6xxln(x) = 10 ; -6ln(x) = 8 ; ln(x) = -(4/3)

NOW we take the antilog, inverse, or exponential of both sides:

e^(ln(x)) = e^(-(4/3)) ; x = 0.264

CHECK:
2 − 6xxln(x) = 10 ; 2 − 6ln(0.264) = 10

2 − 6(-1.33) = 10 ; 2 - (-8) = 10 ; 10 = 10 CORRECT!