Question

How do you solve `2-6lnx=10`?

Answer 1

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!