Question

Please solve for X and explain with steps

Answer 1

log₃(-2 tan(x)) = 1/2

Write both sides as powers of 3, and use the property
`b^(\log_ba)=a`:

`3^(\log_3(-2\tan x))=3^(\frac12)`

-2 tan(x) = √3

Then solve for x :

tan(x) = -√3 / 2

x = arctan(-√3 / 2) + nπ

x = -arctan(√3 / 2) + nπ

where n is any integer.